1. **State the problem:** Solve the equation $y(3 + y) = 0$. 2. **Use the zero product property:** If a product of two factors equals zero, then at least one of the factors must be zero. 3. **Set each factor equal to zero:** $$y = 0$$ or $$3 + y = 0$$ 4. **Solve the second equation:** $$3 + y = 0 \implies y = -3$$ 5. **Final solution:** The values of $y$ that satisfy the equation are $$y = 0 \text{ or } y = -3$$ These are the points where the product equals zero.