\[y=2{x}^{3}\]
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1
Divide both sides by 22.
y2=x3\frac{y}{2}={x}^{3}

2
Take the cube root of both sides.
y23=x\sqrt[3]{\frac{y}{2}}=x

3
Use Division Distributive Property: (xy)a=xaya{(\frac{x}{y})}^{a}=\frac{{x}^{a}}{{y}^{a}}.
y323=x\frac{\sqrt[3]{y}}{\sqrt[3]{2}}=x

4
Switch sides.
x=y323x=\frac{\sqrt[3]{y}}{\sqrt[3]{2}}

Done
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