To solve the equation \( y^3 = 2x \) for \( y \), we take the cube root of both sides:
\[ y = \sqrt[3]{2x} \]
However, none of the provided responses match this solution. The closest we can identify is that none of the options provided seem to represent the correct transformation or solution to the original equation.
If there was a misunderstanding or other context needed for the options, please clarify. Otherwise, the solution remains \( y = \sqrt[3]{2x} \).