1. **State the problem:** Solve the equation $$8y = 12x + 4$$ for $y$. 2. **Rewrite the equation:** To solve for $y$, divide both sides of the equation by 8. 3. **Apply division:** $$y = \frac{12x + 4}{8}$$ 4. **Simplify the fraction:** $$y = \frac{\cancel{12} \times x + \cancel{4}}{\cancel{8}} = \frac{12x}{8} + \frac{4}{8} = \frac{3x}{2} + \frac{1}{2}$$ 5. **Final answer:** $$y = \frac{3}{2}x + \frac{1}{2}$$ This expresses $y$ in terms of $x$ clearly and simply.