1. **State the problem:** Simplify the expression $$\frac{21y + 28}{15y^2 + 20y}$$. 2. **Factor numerator and denominator:** - Numerator: $$21y + 28 = 7(3y + 4)$$ - Denominator: $$15y^2 + 20y = 5y(3y + 4)$$ 3. **Rewrite the expression:** $$\frac{7(3y + 4)}{5y(3y + 4)}$$ 4. **Cancel common factors:** The factor $$3y + 4$$ appears in numerator and denominator, so cancel it out: $$\frac{7}{5y}$$ 5. **Final simplified form:** $$\frac{7}{5y}$$ This is the fully simplified expression, valid for $$y \neq 0$$ and $$3y + 4 \neq 0$$ (to avoid division by zero).