6(3y-1)-3(2y)=24

Solution for 6(3y-1)-3(2y)=24 equation:

Simplifying
6(3y + -1) + -3(2y) = 24

Reorder the terms:
6(-1 + 3y) + -3(2y) = 24
(-1 * 6 + 3y * 6) + -3(2y) = 24
(-6 + 18y) + -3(2y) = 24

Remove parenthesis around (2y)
-6 + 18y + -3 * 2y = 24

Multiply -3 * 2
-6 + 18y + -6y = 24

Combine like terms: 18y + -6y = 12y
-6 + 12y = 24

Solving
-6 + 12y = 24

Solving for variable 'y'.

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

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

Combine like terms: -6 + 6 = 0
0 + 12y = 24 + 6
12y = 24 + 6

Combine like terms: 24 + 6 = 30
12y = 30

Divide each side by '12'.
y = 2.5

Simplifying
y = 2.5