Question

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

Explanation:

Step1: Expand the bracket

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

Step2: Combine like terms

Next, we combine the \(y\)-terms on the right - hand side. \(7y-16y=-9y\), so the equation becomes:
\(9=-9y - 144\)

Step3: Isolate the variable term

Then, we add 144 to both sides of the equation to isolate the term with \(y\).
\(9 + 144=-9y-144 + 144\)
\(153=-9y\)

Step4: Solve for \(y\)

Finally, we divide both sides of the equation by \(- 9\) to solve for \(y\).
\(y=\frac{153}{-9}=-17\)

Answer:

\(-17\)