Answer
$y=49$
Work Step by Step
The given equation is
$\Rightarrow \sqrt{y}+15=22$
Subtract $15$ from each side.
$\Rightarrow \sqrt{y}+15-15=22-15$
Simplify.
$\Rightarrow \sqrt{y}=7$
Square each side of the equation.
$\Rightarrow (\sqrt{y})^2=7^2$
Simplify.
$\Rightarrow y=49$
Check $y=49$.
$\Rightarrow \sqrt{y}+15=22$
$\Rightarrow \sqrt{49}+15=22$
$\Rightarrow 7+15=22$
$\Rightarrow 22=22$
True.
Hence, the solution is $y=49$.
