6(3y-1)-3(2y)=22

Solution for 6(3y-1)-3(2y)=22 equation:

Simplifying
6(3y + -1) + -3(2y) = 22

Reorder the terms:
6(-1 + 3y) + -3(2y) = 22
(-1 * 6 + 3y * 6) + -3(2y) = 22
(-6 + 18y) + -3(2y) = 22

Remove parenthesis around (2y)
-6 + 18y + -3 * 2y = 22

Multiply -3 * 2
-6 + 18y + -6y = 22

Combine like terms: 18y + -6y = 12y
-6 + 12y = 22

Solving
-6 + 12y = 22

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 = 22 + 6

Combine like terms: -6 + 6 = 0
0 + 12y = 22 + 6
12y = 22 + 6

Combine like terms: 22 + 6 = 28
12y = 28

Divide each side by '12'.
y = 2.333333333

Simplifying
y = 2.333333333