Answer
$y=-19$
Work Step by Step
$$\begin{align*}
-3&=12y-5(2y)-5(-7) &\text{Apply the Distributive Property}\\
-3&=12y-10y+35 &\text{Simplify.}\\
-3&=2y+35 &\text{Combine like terms.}\\
-3-35&=2y+35-35 &\text{Subtract 35 from each side.}\\
-38&=2y &\text{Simplify.}\\
\frac{-38}{2}&=\frac{2y}{2} &\text{Divide 2 to both sides.}\\
-19&=y&\text{Simplify.}
\end{align*}$$
Check the answer by substituting $-19$ to the variable in the given equation.
$$\begin{align*}
-3&=12y-5(2y-7)\\
-3&\stackrel{?}{=}12(-19)-5[2(-19)-7]\\
-3&\stackrel{?}{=}-228+225\\
-3&\stackrel{\checkmark}{=}-3
\end{align*}$$
Thus, the solution is $y=-19$.
