1. **State the problem:** Evaluate the expression $$\frac{7x + 2}{2y}$$ when $$x = 4$$ and $$y = -5$$. 2. **Write the formula:** The expression is $$\frac{7x + 2}{2y}$$. 3. **Substitute the values:** Replace $$x$$ with 4 and $$y$$ with -5: $$\frac{7(4) + 2}{2(-5)}$$ 4. **Calculate the numerator:** $$7 \times 4 = 28$$ So numerator is: $$28 + 2 = 30$$ 5. **Calculate the denominator:** $$2 \times (-5) = -10$$ 6. **Write the fraction:** $$\frac{30}{-10}$$ 7. **Simplify the fraction:** $$\frac{\cancel{30}^{3 \times 10}}{\cancel{-10}^{-1 \times 10}} = \frac{3}{-1} = -3$$ 8. **Final answer:** $$-3$$