Question

Solve the following equation: 96= -6( -4-3y)
a. y=2
b.y=4
c.y= -2
d. y=6

Answer 1

`96= -6( -4-3y) \\ \\ (96)/(-6) = -4 - 3y \\ \\ - (96)/(6) = -4 - 3y \\ \\ -16 = -4 - 3y \\ \\ -16 + 4 = -3y \\ \\ -12 = -3y \\ \\ (-12)/(-3) = y \\ \\ (12)/(3) = y \\ \\ 4 = y \\ \\ y = 4 \\ \\`

The final result is: y = 4.

Answer 2

96 = -6 * (-4 - 3y) <== It's easiest to solve when the y is on the right
↓
-6 * (-4 - 3y) = 96 <== Multiply the -6 by everything inside the
parentheses
↓
24 + 18y = 96 <== Subtract the 24 from both sides
↓
18y = 72 <== Divide both sides by 18
↓
y = 4

The correct answer is choice B. y = 4.
Hope that helped =)