1. **State the problem:** Solve the inequality $$-1 \geq - \frac{12y}{5} - 17$$ for $y$. 2. **Isolate the term with $y$:** Add 17 to both sides to move constants to the left. $$-1 + 17 \geq - \frac{12y}{5} - 17 + 17$$ $$16 \geq - \frac{12y}{5}$$ 3. **Remove the fraction:** Multiply both sides by 5 to eliminate the denominator. $$5 \times 16 \geq 5 \times - \frac{12y}{5}$$ $$80 \geq -12y$$ 4. **Solve for $y$:** Divide both sides by $-12$. Remember, dividing by a negative number reverses the inequality sign. $$\frac{80}{\cancel{-12}} \leq y \quad \text{(inequality flips)}$$ $$-\frac{80}{12} \leq y$$ 5. **Simplify the fraction:** $$-\frac{80}{12} = -\frac{20}{3}$$ 6. **Final answer:** $$y \geq -\frac{20}{3}$$ This means $y$ is greater than or equal to $-\frac{20}{3}$.