1. The problem is to find the integral of the function $y^{-2}$ with respect to $y$. 2. Recall the power rule for integration: $$\int y^n \, dy = \frac{y^{n+1}}{n+1} + C \quad \text{for } n \neq -1.$$ Here, $n = -2$. 3. Applying the power rule: $$\int y^{-2} \, dy = \frac{y^{-2+1}}{-2+1} + C = \frac{y^{-1}}{-1} + C = -y^{-1} + C.$$ 4. Simplify the expression: $$-y^{-1} + C = -\frac{1}{y} + C.$$ 5. Therefore, the integral of $y^{-2}$ is: $$\boxed{-\frac{1}{y} + C}.$$