Question

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

Answer 1

$96= -6( -4-3y) \\ \\ \frac{96}{-6} = -4 - 3y \\ \\ - \frac{96}{6} = -4 - 3y \\ \\ -16 = -4 - 3y \\ \\ -16 + 4 = -3y \\ \\ -12 = -3y \\ \\ \frac{-12}{-3} = y \\ \\ \frac{12}{3} = y \\ \\ 4 = y \\ \\ y = 4$

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 =)