Question

4(y - 4) = 8
a) -2
b) 2
c) 4
d) 6

Answer 1

To solve the equation 4(y - 4) = 8, distribute the 4, add 16 to both sides, and then divide by 4 to isolate y, resulting in y = 6. This matches answer choice d.

Step-by-step explanation:

To solve the equation 4(y - 4) = 8, we can follow these steps:

1. Distribute the 4 into the parentheses: 4 × y - 4 × 4 = 8, which simplifies to 4y - 16 = 8.
2. Add 16 to both sides to isolate the term with the variable: 4y - 16 + 16 = 8 + 16, which simplifies to 4y = 24.
3. Divide both sides by 4 to solve for y: 4y ÷ 4 = 24 ÷ 4, which gives us y = 6.

Therefore, the solution to the equation is y = 6, which corresponds to answer choice d.