1. **State the problem:** Solve the equation $-2 + y = -7$ for $y$. 2. **Formula and rules:** To isolate $y$, add 2 to both sides of the equation to maintain equality. 3. **Intermediate work:** $$-2 + y = -7$$ Add 2 to both sides: $$-2 + y + 2 = -7 + 2$$ Simplify: $$y = -5$$ 4. **Explanation:** We moved the $-2$ to the right side by adding 2 to both sides, which keeps the equation balanced. This isolates $y$ and gives the solution. **Final answer:** $y = -5$