[tex]x=2y^3+3\\\\\text{change x to y and y to x}\\\\y=2x^3+3\\-----------------------\\\text{if you did it}\\\\2y^3+3=x\ \ \ \ |-3\\\\2y^3=x-3\ \ \ \ |:2\\\\y^3=\dfrac{x-3}{2}\to\boxed{y=\sqrt[3]{\dfrac{x-3}{2}}}[/tex]