3(4y-2)=6-1(3-3y)

Solution for 3(4y-2)=6-1(3-3y) equation:

Simplifying
3(4y + -2) = 6 + -1(3 + -3y)

Reorder the terms:
3(-2 + 4y) = 6 + -1(3 + -3y)
(-2 * 3 + 4y * 3) = 6 + -1(3 + -3y)
(-6 + 12y) = 6 + -1(3 + -3y)
-6 + 12y = 6 + (3 * -1 + -3y * -1)
-6 + 12y = 6 + (-3 + 3y)

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

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

Combine like terms: 12y + -3y = 9y
-6 + 9y = 3 + 3y + -3y

Combine like terms: 3y + -3y = 0
-6 + 9y = 3 + 0
-6 + 9y = 3

Add '6' to each side of the equation.
-6 + 6 + 9y = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 9y = 3 + 6
9y = 3 + 6

Combine like terms: 3 + 6 = 9
9y = 9

Divide each side by '9'.
y = 1

Simplifying
y = 1