Question

Would anyone give me the exact step for solving this problem?
9x-6(4x-2(x+2y))-(4x-3(y-2x))+14y

Answer 1

\[\large 9x-6(4x-2(x+2y))-(4x-3(y-2x)) + 14y \] this?

Answer 2

yes that one

Answer 3

we have a monster version of PEMDAS

Answer 4

is there any guide i should follow in order to get the correct answer? I always come up with different answers

Answer 5

let's do it the order of operations way which is deal with the parenthesis first ...but this is a mega one so we need to be careful

Answer 6

\[\large 9x-6(4x-2(x+2y))-(4x-3(y-2x)) + 14y\]

ok I can't change the color of the font x.x

but let's try dealing with
\[\large -(4x-3(y-2x))\] first

Answer 7

there's is () but we also have another ()... do the inner () first

Answer 8

don't forget to distribute the negative too because it's on the right hand side of the equation ^^
so what's -3 times y
and -3 times -2x

Answer 9

okay im following

Answer 10

can you please answer what is -3 multiplied by y and -3 multiplied by -2x ?
i'm not supposed to give direct answers

Answer 11

-3y + 6x

Answer 12

\[\large - (4x-3y+6x)\]

Answer 13

correct... now what's 4x+6x

Answer 14

10x

Answer 15

\[\large - (-3y+10x)\]
now distribute the negative

Answer 16

3y - 10x

Answer 17

super! we got that part out of the way... so time to bring back the equation and put that instead of that super long 4x- laallaa

Answer 18

\[\large 9x-6(4x-2(x+2y))-(4x-3(y-2x)) + 14y \]
\[\large 9x-6(4x-2(x+2y))+3y-10x+ 14y\]

Answer 19

\[\large -6(4x-2(x+2y)) \]
now we deal with this mega parenthesis.. again do the inner () first

Answer 20

-2x -4y

Answer 21

\[\large -6(4x-2x-4y) \]

Answer 22

combine like terms

Answer 23

-24x+12x+24y

Answer 24

ok.. we've distributed ^_^ no problem.. but we still need to combine like terms for x

Answer 25

-12x + 24y

Answer 26

\[\large -6(4x-2x-4y) \]
\[\large -6(2x-4y) \rightarrow -12x+24y\] correct now we replace that monster equation we had earlier to this simple one

Answer 27

\[\large 9x-12x+24y+3y-10x+ 14y\]

Answer 28

now we rearrange them ... having all x's first and then y's last

Answer 29

-13x+41y? is this it?

Answer 30

by the way, is it possible that the 1st term be negative? or i should interchange their position like 41y-13x

Answer 31

\[\large 9x-12x+24y+3y-10x+ 14y \]
\[\large 9x-12x-10x+24y+3y+ 14y\]
\[\[\large 9x-12x-10x+24y+3y+ 14y\] \rightarrow -13x+41y\]

well order doesn't matter so you can either have -13x + 41y or 41y -13x

Answer 32

nugh latex nOO!
-13x+41y is what I got in the end

Answer 33

thank you very much sensei....

Answer 34

and guess what? I've checked with wolfram alpha and it agrees with us! YAY!

Answer 35

http://www.wolframalpha.com/input/?i=simplify++9x-6%284x-2%28x%2B2y%29%29-%284x-3%28y-2x%29%29+%2B+14y

Answer 36

order doesn't matter ... as long as the numerical values are correct xD....can I get a medal?

Answer 37

how to give a medal? im beginner here

Answer 38

oh you just click on best response on the top left of my postings.

Answer 39

there is a best response button right next to the medal (0)

Answer 40

there we go :)

Answer 41

thank you again sensei....