1. **State the problem:** Simplify the expressions: (i) $5 + 3(2 - 7x) + 4x$ (ii) $\frac{3y}{4} - \frac{2y}{5}$ 2. **Simplify (i):** Use the distributive property: $a(b+c) = ab + ac$ $$5 + 3(2 - 7x) + 4x = 5 + 3 \times 2 - 3 \times 7x + 4x$$ $$= 5 + 6 - 21x + 4x$$ Combine like terms: $$5 + 6 = 11$$ $$-21x + 4x = -17x$$ So, $$5 + 3(2 - 7x) + 4x = 11 - 17x$$ 3. **Simplify (ii):** Subtract the fractions with like terms $y$ by finding a common denominator. The denominators are 4 and 5, so the least common denominator (LCD) is 20. Rewrite each fraction: $$\frac{3y}{4} = \frac{3y \times 5}{4 \times 5} = \frac{15y}{20}$$ $$\frac{2y}{5} = \frac{2y \times 4}{5 \times 4} = \frac{8y}{20}$$ Subtract: $$\frac{15y}{20} - \frac{8y}{20} = \frac{15y - 8y}{20} = \frac{7y}{20}$$ **Final answers:** (i) $11 - 17x$ (ii) $\frac{7y}{20}$