Answer
The solution is $y=8$.
Work Step by Step
The given equation is
$\Rightarrow \sqrt[3]{y}=2$
Cube each side of the equation.
$\Rightarrow (\sqrt[3]{y})^3=2^3$
Simplify.
$\Rightarrow y=8$
Check $y=8$.
$\Rightarrow \sqrt[3]{y}=2$
$\Rightarrow \sqrt[3]{8}=2$
$\Rightarrow 2=2$
True.
Hence, the solution is $y=8$.
