1. **State the problem:** Simplify the expression $10 + \frac{y}{y}$. 2. **Recall the rule:** For any nonzero $y$, $\frac{y}{y} = 1$. This is because any nonzero number divided by itself equals 1. 3. **Apply the rule:** Replace $\frac{y}{y}$ with 1, so the expression becomes $10 + 1$. 4. **Simplify:** $10 + 1 = 11$. 5. **Final answer:** The simplified expression is $11$, assuming $y \neq 0$ to avoid division by zero.