Question

solve for y.
9 = 7y + 8(-18 - 2y)
y =

Explanation:

Step1: Expand the bracket

First, we expand \( 8(-18 - 2y) \) using the distributive property \( a(b + c)=ab+ac \). So \( 8\times(-18)+8\times(-2y)= - 144-16y \). The equation becomes \( 9 = 7y-144 - 16y \).

Step2: Combine like terms

Combine the \( y \)-terms: \( 7y-16y=-9y \). So the equation is \( 9=-9y - 144 \).

Step3: Add 144 to both sides

Add 144 to both sides of the equation to isolate the term with \( y \). \( 9 + 144=-9y-144 + 144 \), which simplifies to \( 153=-9y \).

Step4: Solve for y

Divide both sides by - 9: \( y=\frac{153}{-9}=-17 \).

Answer:

\( y = - 17 \)