Question

8 parentheses y -9 close parentheses equals -32 ​

Answer 1

y = 5

Explanation:

`\bold{METHOD\ 1:}`

`8(y-9)=-32\qquad\text{divide both sides by 8}\\\\(8\!\!\!\!\diagup(y-9))/(8\!\!\!\!\diagup)=(-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}\\\\(8y)/(8)=(40)/(8)\\\\y=5`

Answer 2

y = 5

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