Question

simplify the expression.
-3(y - 2) + 2(y + 6)

a -y + 18

b y + 28

c -2y + 38

d -y + 8

Explanation:

Step1: Distribute the coefficients

First, we distribute -3 into (y - 2) and 2 into (y + 6).
For -3(y - 2), we get $-3 \times y + (-3) \times (-2) = -3y + 6$.
For 2(y + 6), we get $2 \times y + 2 \times 6 = 2y + 12$.

Step2: Combine like terms

Now, we combine the two simplified expressions: $(-3y + 6) + (2y + 12)$.
Combine the y terms: $-3y + 2y = -y$.
Combine the constant terms: $6 + 12 = 18$.
So the simplified expression is $-y + 18$.

Answer:

a. $-y + 18$