Question

3 = –(–y + 6)
need help
A.
–9

B.
–3

C.
3

D.
9

Answer 1

\(\large 3 = –(–y + 6)\)

is same as

\(\large 3 = –1(–y + 6)\)

Answer 2

distribute that -1 on right hand side

Answer 3

im sorry i dont get you

Answer 4

distributive law of multiplication : \[\large a(b+c) = ab+ac\]

Answer 5

\[\large \begin{align}3&=-1(-y+6)\\~\\&=(-1)(-y) + (-1)(6)\\~\\&=y - 6\end{align}\]

Answer 6

thank you

Answer 7

\[\large 3 = y - 6\]

add 6 both sides to isolate `y`

Answer 8

we're not done yet

Answer 9

what do you get when you add `6` to both sides ?

Answer 10

8 and 6y?

Answer 11

3+6 = 9

right ?

Answer 12

\[\large 3 = y-6\]

add 6 to both sides

\[\large 3+6 = y-6+6\]
\[\large 9 = y\]

Answer 13

so the value of unknown variable, y, is 9

Answer 14

oh thank you so much can you help me with one more ?

Answer 15

I'll try... but are you sure you're able to follow all the mess that i wrote above ? :)