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

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

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

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

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

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

Combine like terms: -6 + 6 = 0
0 + 12y = -6 + 6 + 3y
12y = -6 + 6 + 3y

Combine like terms: -6 + 6 = 0
12y = 0 + 3y
12y = 3y

Solving
12y = 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.
12y + -3y = 3y + -3y

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

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

Divide each side by '9'.
y = 0

Simplifying
y = 0