Question

Expand the expression and combine like terms 7−3(−3y+5)

Answer 1

The question is: \(\large\color{slate}{ 7-3(-3y+5) }\) .


At first, can you simplify the \(\large\color{blue }{ -3(-3y+5) }\) ?

Answer 2

(if you got any questions, ask)

Answer 3

Yes, PEMDAS is vital here.

7−3(−3y+5)

You will have to multiply first :−3(−3y+5)

Answer 4

I do @SolomonZelman but its just this one lol

Answer 5

i just wanted to know that answer thats all

Answer 6

I mean what exactly is troubling you here....

Answer 7

The question that i asked

Answer 8

i just want you to walk me through it

Answer 9

I don't give out answers, but I can help you out. This way you will also know how to do it in the future on your own.

Answer 10

If you want me (to continue) helping, then I am all for it, if you just need the answer, then I am out.

Answer 11

Ok well sorry about that

Answer 12

In any case, when you have: \(\large\color{black}{ a(b+c) }\) you are multiplying \(\large\color{black}{ a \color{red}{\times}(b+c) }\).

To expand this product you need to multiply a times everything that is in the parenthesis.
\(\large\color{black}{ a\color{red}{\times}(b+c) ~~~\Longrightarrow~~~a\color{red}{\times}b~+~a\color{red}{\times}c }\)

Answer 13

Ok

Answer 14

now, the signs make not a big difference.
In any case, when you have: \(\large\color{black}{ -a(-b+c) }\) you are multiplying \(\large\color{black}{ -a \color{red}{\times}(-b+c) }\).

To expand this product you need to multiply a times everything that is in the parenthesis.
\(\large\color{black}{ -a\color{red}{\times}(-b+c) ~~~\Longrightarrow~~~a\color{red}{\times}(-b)~+~a\color{red}{\times}c }\)

Answer 15

for example:
\(\large\color{black}{ -3(-3y+5) }\)

will convert to:
\(\large\color{black}{ ( -3) \color{red}{\times}(-3y)~~+~~( -3) \color{red}{\times}(5) }\)

Answer 16

I converted it for you, can you simplify this (new) expression?

Answer 17

Yes Thank you so much

Answer 18

k, what do you get after simplifying ?

Answer 19

9y and -15? Which equals -3 and 3y?

Answer 20

close.

Answer 21

when you multiply 2 negative numbers the product becomes positive. (did you know that ?)

Answer 22

Yeah i did know that but i forgot for a min though

Answer 23

yes, so you had: \(\large\color{black}{ ( -3) \color{red}{\times}(-3y)~~+~~( -3) \color{red}{\times}(5) }\)

try one more time for me please.

Answer 24

9 and -15

Answer 25

is it -24?

Answer 26

you left out a y

Answer 27

9y and -15.

Answer 28

that is 9y-15.

Answer 29

oh

Answer 30

-24y?

Answer 31

We did so far:

\(\large\color{black}{ -3(-3y+5)~=~ ( -3) \color{red}{\times}(-3y)~~+~~( -3) \color{red}{\times}(5) }\)

\(\large\color{black}{ ( -3) \color{red}{\times}(-3y)~~+~~( -3) \color{red}{\times}(5) ~~~~~=~~~\color{blue}{9y-15} }\)



So we know that:
\(\large\color{black}{ -3(-3y+5)~=~\color{blue}{9y-15} }\)

Answer 32

oh ok so 6y? or -6y?

Answer 33

So, if \(\large\color{black}{ -3(-3y+5)~=~\color{blue}{9y-15} }\)

then \(\large\color{black}{ \color{green}{7}-3(-3y+5)~=? }\)

Answer 34

Hint:

\(\large\color{black}{ \color{green}{7}-3(-3y+5) }\) is same thing as \(\large\color{black}{ -3(-3y+5) \color{green}{+7}}\)

Answer 35

9y? I'm sorry i don't know this

Answer 36

so, if \(\large\color{black}{ -3(-3y+5)=~9y-15 }\)

then, \(\large\color{black}{ -3(-3y+5)\color{green}{+7}=~9y-15\color{green}{+7} }\)

Answer 37

your answer is?

Answer 38

13y

Answer 39

Sorry i took you through all of this but i do get it now

Answer 40

your 9y doesn't change

Answer 41

oh ok

Answer 42

So was 13y correct?

Answer 43

have you read my comments before?

we stopped at: \(\large\color{black}{ -3(-3y+5)\color{green}{+7}=~9y-15\color{green}{+7} }\)

\(\large\color{black}{ ~9y\underline{-15\color{green}{+7}}=? }\)
(simplify an underlined part)

Answer 44

Oh ok i get it now i have to go and thank you

Answer 45

can you tell me what answer you got?

Answer 46

i simplified -6 and got -2

Answer 47

how do you get -6 ?

Answer 48

Oh i see the mistake i made

Answer 49

if you mean -6y, then it is incorrect, b/c we are multiplying -3 times -3y.

Answer 50

and that, is, as we said, equivalent to 9y.

Answer 51

it seems as though that you might need to go over the comments.

Answer 52

ok

Answer 53

Sorry about that i did read them but im not still good at math

Answer 54

So i think i should go now and i think i get it...

Answer 55

So its 9y? im still confused ill just go with that

Answer 56

yes 9y is right. but it is not just 9y

Answer 57

there is another part it is `-15+7` that you have to simplify

Answer 58

Ok i simplified -22 and got -11

Answer 59

15-7=8 right?

Answer 60

yes

Answer 61

So if 15-7=8, then -15+8=?

Answer 62

-7

Answer 63

yes

Answer 64

so the answer is 9y-7.

Answer 65

got it through, I think

Answer 66

Ok thanks lol its obvious now

Answer 67

nice to hear that

Answer 68

i got it wrong.....

Answer 69

must be a error in my website

Answer 70

its 9y-8

Answer 71

yup

Answer 72

but thanks anyways:)

Answer 73

i have to go now bye

Answer 74

bye