6(3y-1)-3(2y)=10

Solution for 6(3y-1)-3(2y)=10 equation:

Simplifying
6(3y + -1) + -3(2y) = 10

Reorder the terms:
6(-1 + 3y) + -3(2y) = 10
(-1 * 6 + 3y * 6) + -3(2y) = 10
(-6 + 18y) + -3(2y) = 10

Remove parenthesis around (2y)
-6 + 18y + -3 * 2y = 10

Multiply -3 * 2
-6 + 18y + -6y = 10

Combine like terms: 18y + -6y = 12y
-6 + 12y = 10

Solving
-6 + 12y = 10

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 = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 12y = 10 + 6
12y = 10 + 6

Combine like terms: 10 + 6 = 16
12y = 16

Divide each side by '12'.
y = 1.333333333

Simplifying
y = 1.333333333