Answer
$y=-36$ and $y=24$
Work Step by Step
We are given that $|\frac{y}{3}+2|=10$.
So, $\frac{y}{3}+2=10$ and $\frac{y}{3}+2=-10$.
We can solve both of these equations for y.
For $\frac{y}{3}+2=10$, subtract 2 from both sides of the equation.
$\frac{y}{3}=8$
Multiply both sides of the equation by 3.
y=24
For $\frac{y}{3}+2=-10$, subtract 2 from both sides of the equation.
$\frac{y}{3}=-12$
Multiply both sides of the equation by 3.
y=-36
