1. **State the problem:** Solve the inequality $-26 + 4y > 2$ for $y$. 2. **Write the inequality:** $$-26 + 4y > 2$$ 3. **Add 26 to both sides to isolate the term with $y$:** $$\cancel{-26} + 4y + 26 > 2 + 26$$ $$4y > 28$$ 4. **Divide both sides by 4 to solve for $y$:** $$\frac{4y}{\cancel{4}} > \frac{28}{\cancel{4}}$$ $$y > 7$$ 5. **Interpretation:** The solution to the inequality is all values of $y$ greater than 7. --- 1. **State the problem:** Solve the inequality $-2x + 4 \leq 10$ for $x$. 2. **Write the inequality:** $$-2x + 4 \leq 10$$ 3. **Subtract 4 from both sides:** $$-2x + 4 - 4 \leq 10 - 4$$ $$-2x \leq 6$$ 4. **Divide both sides by $-2$ and reverse the inequality sign (because dividing by a negative number reverses inequality):** $$\frac{-2x}{\cancel{-2}} \geq \frac{6}{\cancel{-2}}$$ $$x \geq -3$$ 6. **Interpretation:** The solution to the inequality is all values of $x$ greater than or equal to $-3$. --- **Final answers:** $$y > 7$$ $$x \geq -3$$