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

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

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

Reorder the terms:
3(-1 + 3y) + -3(2y) = 2
(-1 * 3 + 3y * 3) + -3(2y) = 2
(-3 + 9y) + -3(2y) = 2

Remove parenthesis around (2y)
-3 + 9y + -3 * 2y = 2

Multiply -3 * 2
-3 + 9y + -6y = 2

Combine like terms: 9y + -6y = 3y
-3 + 3y = 2

Solving
-3 + 3y = 2

Solving for variable 'y'.

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

Add '3' to each side of the equation.
-3 + 3 + 3y = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 3y = 2 + 3
3y = 2 + 3

Combine like terms: 2 + 3 = 5
3y = 5

Divide each side by '3'.
y = 1.666666667

Simplifying
y = 1.666666667