solve for y.\n7 = 7(5 + 3y) - 19y\ny =

Answer:

( y = -14 )

Explanation:

Step1: Expand the equation

$$ \begin{align*} 7&=7(5 + 3y)-19y\ 7&=35+21y - 19y \end{align*} $$

Step2: Combine like terms

$$ \begin{align*} 7&=35+(21y - 19y)\ 7&=35 + 2y \end{align*} $$

Step3: Isolate the variable term

Subtract (35) from both sides: $$ \begin{align*} 7-35&=35 + 2y-35\ -28&=2y \end{align*} $$

Step4: Solve for (y)

Divide both sides by (2): $$ \begin{align*} \frac{-28}{2}&=\frac{2y}{2}\ y&=-14 \end{align*} $$