Answer
$y=5$
Work Step by Step
$$\begin{align*}
13&=-2(y)-(-2)(4)+3y &\text{Apply the Distributive Property.}\\
13&=-2y+8+3y &\text{Simplify.}\\
13&=y+8 &\text{Combine like terms.}\\
13-8&=y+8-8 &\text{Subtract 8 to both sides.}\\
5&=y &\text{Simplify.}\\
\end{align*}$$
Check the answer by substituting $5$ to the variable $y$ in the given equation.
$$\begin{align*}
13&=-2(y-4)+3y\\
13&\stackrel{?}{=}-2\left(5-4\right)+3(5)\\
13&\stackrel{?}{=}-2(1)+15\\
13&\stackrel{\checkmark}{=}13
\end{align*}$$
Thus, the solution is $y=5$.
