1. **State the problem:** Solve the equation $$-2y + 1 = -9$$ for the variable $y$. 2. **Isolate the term with $y$:** Subtract 1 from both sides to move the constant term. $$-2y + 1 - 1 = -9 - 1$$ $$-2y = -10$$ 3. **Divide both sides by the coefficient of $y$:** The coefficient is $-2$, so divide both sides by $-2$. $$y = \frac{-10}{-2}$$ 4. **Simplify the fraction:** $$y = \cancel{\frac{-10}{-2}} = 5$$ 5. **Final answer:** The value of $y$ is **5**.