1. **State the problem:** Solve the inequality $-26 + 4y > 2$ for $y$. 2. **Add 26 to both sides:** $$-26 + 4y > 2$$ $$\cancel{-26} + 4y > 2 + \cancel{26}$$ $$4y > 28$$ 3. **Divide both sides by 4:** $$\frac{4y}{\cancel{4}} > \frac{28}{\cancel{4}}$$ $$y > 7$$ 4. **Interpretation:** The solution to the inequality is all values of $y$ greater than 7. The second inequality $-2x + 4 \leq 10$ is not solved here as per instructions to solve only the first problem. **Final answer:** $$y > 7$$