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

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

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

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

Reorder the terms:
-6 + 12y = 3(2 + 3y)
-6 + 12y = (2 * 3 + 3y * 3)
-6 + 12y = (6 + 9y)

Solving
-6 + 12y = 6 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
-6 + 12y + -9y = 6 + 9y + -9y

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

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

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

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

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

Divide each side by '3'.
y = 4

Simplifying
y = 4