Question

solve for y.
11 + 15y = -7 + 13y
simplify your answer as much as possible.

Explanation:

Step1: Subtract 13y from both sides

To get the y - terms on one side, we subtract \(13y\) from both sides of the equation \(11 + 15y=-7 + 13y\).

\(11+15y - 13y=-7 + 13y-13y\)

Simplifying both sides, we have \(11 + 2y=-7\).

Step2: Subtract 11 from both sides

To isolate the term with y, we subtract 11 from both sides of the equation \(11 + 2y=-7\).

\(11 + 2y-11=-7-11\)

Simplifying both sides, we get \(2y=-18\).

Step3: Divide both sides by 2

To solve for y, we divide both sides of the equation \(2y = - 18\) by 2.

\(\frac{2y}{2}=\frac{-18}{2}\)

Simplifying, we find that \(y=-9\).

Answer:

\(y = - 9\)