detail step for Step 4: Combine and Solve for y y Combine the results from both sides: \[\frac{y^2}{2} = 2\ln|x| - \frac{4}{x} + C \] Multiply through by 2 to solve for y 2 y 2 : \[y^2 = 4\ln|x| - \frac{8}{x} + C' \]