15=-3(24-y)+2(y-4)

Solution for 15=-3(24-y)+2(y-4) equation:

Simplifying
15 = -3(24 + -1y) + 2(y + -4)
15 = (24 * -3 + -1y * -3) + 2(y + -4)
15 = (-72 + 3y) + 2(y + -4)

Reorder the terms:
15 = -72 + 3y + 2(-4 + y)
15 = -72 + 3y + (-4 * 2 + y * 2)
15 = -72 + 3y + (-8 + 2y)

Reorder the terms:
15 = -72 + -8 + 3y + 2y

Combine like terms: -72 + -8 = -80
15 = -80 + 3y + 2y

Combine like terms: 3y + 2y = 5y
15 = -80 + 5y

Solving
15 = -80 + 5y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-5y' to each side of the equation.
15 + -5y = -80 + 5y + -5y

Combine like terms: 5y + -5y = 0
15 + -5y = -80 + 0
15 + -5y = -80

Add '-15' to each side of the equation.
15 + -15 + -5y = -80 + -15

Combine like terms: 15 + -15 = 0
0 + -5y = -80 + -15
-5y = -80 + -15

Combine like terms: -80 + -15 = -95
-5y = -95

Divide each side by '-5'.
y = 19

Simplifying
y = 19