Answer
The solutions are $y=7$ and $y=1$.
The graph is shown below.
Work Step by Step
The given equation is
$\Rightarrow |3y-12|-7=2$
Add $7$ to each side.
$\Rightarrow |3y-12|-7+7=2+7$
Simplify.
$\Rightarrow |3y-12|=9$
Write related linear equations.
$\Rightarrow 3y-12=9$ or $3y-12=-9$
Add $12$ to each side.
$\Rightarrow 3y-12+12=9+12$ or $3y-12+12=-9+12$
Simplify.
$\Rightarrow 3y=21$ or $3y=3$
Divide each side by $3$.
$\Rightarrow \frac{3y}{3}=\frac{21}{3}$ or $\frac{3y}{3}=\frac{3}{3}$
Simplify.
$\Rightarrow y=7$ or $y=1$
The solutions are $y=7$ and $y=1$.
