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

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

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

Reorder the terms:
3(-2 + 4y) = -3y + 24
(-2 * 3 + 4y * 3) = -3y + 24
(-6 + 12y) = -3y + 24

Reorder the terms:
-6 + 12y = 24 + -3y

Solving
-6 + 12y = 24 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
-6 + 12y + 3y = 24 + -3y + 3y

Combine like terms: 12y + 3y = 15y
-6 + 15y = 24 + -3y + 3y

Combine like terms: -3y + 3y = 0
-6 + 15y = 24 + 0
-6 + 15y = 24

Add '6' to each side of the equation.
-6 + 6 + 15y = 24 + 6

Combine like terms: -6 + 6 = 0
0 + 15y = 24 + 6
15y = 24 + 6

Combine like terms: 24 + 6 = 30
15y = 30

Divide each side by '15'.
y = 2

Simplifying
y = 2