Question

8 parentheses y -9 close parentheses equals -32 ​

Answer 1

Answer:

y = 5

Step-by-step explanation:

Divide each side by 8 to get (y-9) = -4.

Add 9 to each side to isolate the variable y. This leaves you with y = 5

Answer 2

Answer:

y = 5

Step-by-step explanation:

$\bold{METHOD\ 1:}$

$8(y-9)=-32\qquad\text{divide both sides by 8}\\\\\dfrac{8\!\!\!\!\diagup(y-9)}{8\!\!\!\!\diagup}=\dfrac{-32\!\!\!\!\!\diagup^4}{8\!\!\!\!\diagup_1}\\\\y-9=-4\qquad\text{add 9 to both sides}\\\\y-9+9=-4+9\\\\y=5$

$\bold{METHOD\ 2:}$

$8(y-9)=-32\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(8)(y)+(8)(-9)=-32\\\\8y-72=-32\qquad\text{add 72 to both sides}\\\\8y-72+72=-32+72\\\\8y=40\qquad\text{divide both sides by 8}\\\\\dfrac{8y}{8}=\dfrac{40}{8}\\\\y=5$