1. **State the problem:** Solve the equation $-2(4 + 3y) = -2(4)$ for $y$. 2. **Apply the distributive property:** $$-2 \times 4 + (-2) \times 3y = -2 \times 4$$ which simplifies to $$-8 - 6y = -8$$ 3. **Add 8 to both sides to isolate terms with $y$:** $$-8 - 6y + 8 = -8 + 8$$ which simplifies to $$-6y = 0$$ 4. **Divide both sides by $-6$ to solve for $y$:** $$\cancel{-6}y = \frac{0}{\cancel{-6}}$$ which simplifies to $$y = 0$$ **Final answer:** $$y = 0$$