Question

simplify the expression $2y - (3y - 4)$.
a. $y + 4$
b. $-y + 4$
c. $-y - 4$
d. $-y + 1$
simplify: $0.3(4x - 2) - 0.5(x + 6)$
a. $0.7x + 2$
b. $1.2x + 1$
c. $1.2x - 6$

Explanation:

Step1: Remove parentheses

$2y - 3y + 4$

Step2: Combine like terms

$-y + 4$

Step1: Distribute coefficients

$0.3×4x - 0.3×2 - 0.5×x - 0.5×6 = 1.2x - 0.6 - 0.5x - 3$

Step2: Combine like terms

$(1.2x - 0.5x) + (-0.6 - 3) = 0.7x - 3.6$

Answer:

b. $-y + 4$
0.7x - 3.6 (Note: The fourth option for the second question is incomplete, but the simplified result is $0.7x - 3.6$)