𝟒𝒙𝟐 = 𝟐𝒚𝟑 + 𝟒𝒚

Sure, here is the step by step solution for the equation:

4x^2 = 2y^3 + 4y

Step 1: Let's isolate y on one side of the equation. To do this, we subtract 4y from both sides:

4x^2 - 4y = 2y^3

Step 2: Now, let's divide every term by 2 to simplify the equation:

2x^2 - 2y = y^3

Step 3: Now, let's rearrange the equation to make it easier to solve for y:

y^3 + 2y = 2x^2

This is the simplified form of the equation. However, it's a cubic equation in y, which is more complex to solve. If you have specific values for x, you can substitute them into the equation to solve for y.