1. **State the problem:** Solve the compound inequality $$16y - 18 > 46 \text{ OR } 14y + 6 < 20.$$ 2. **Solve the first inequality:** $$16y - 18 > 46.$$ Add 18 to both sides: $$16y > 46 + 18$$ Simplify: $$16y > 64$$ Divide both sides by 16: $$y > \frac{64}{16}$$ Simplify: $$y > 4.$$ 3. **Solve the second inequality:** $$14y + 6 < 20.$$ Subtract 6 from both sides: $$14y < 20 - 6$$ Simplify: $$14y < 14$$ Divide both sides by 14: $$y < \frac{14}{14}$$ Simplify: $$y < 1.$$ 4. **Write the solution:** The compound inequality is true when $$y > 4$$ OR $$y < 1.$$ **Final answer:** $$y > 4 \text{ OR } y < 1.$$