Answer
$y=-10$
Work Step by Step
Use the Multiplication Property of Equality by multiplying $-\frac{5}{2}$ to both sides of the equation:
$$\begin{align*}
\left(-\frac{2}{5}y\right) \left(-\frac{5}{2}\right)&=4 \left(-\frac{5}{2}\right)\\
y&=\frac{-20}{2}\\
y&=-10\end{align*}$$
Check the solution by substituting $-10$ to the variable in the given equation:
$$\begin{align*}
-\frac{2}{5}y&=4\\
-\frac{2}{5}(-10)&\stackrel{?}{=}4\\
\frac{20}{5}&\stackrel{?}{=}4\\
4&\stackrel{\checkmark}{=}4\end{align*}$$
Thus, the solution is $y=-10$.
