1. **State the problem:** Solve the equation $$8(y + 6) = 10y + 48$$. 2. **Apply the distributive property:** Multiply 8 by both terms inside the parentheses. $$8y + 48 = 10y + 48$$ 3. **Bring all terms involving $y$ to one side:** Subtract $8y$ from both sides. $$\cancel{8y} + 48 - \cancel{8y} = 10y + 48 - 8y$$ $$48 = 2y + 48$$ 4. **Isolate the variable term:** Subtract 48 from both sides. $$48 - 48 = 2y + 48 - 48$$ $$0 = 2y$$ 5. **Solve for $y$:** Divide both sides by 2. $$\frac{0}{2} = \frac{2y}{2}$$ $$0 = y$$ **Final answer:** $$y = 0$$