6(2y-1)-2(2y)=14

Solution for 6(2y-1)-2(2y)=14 equation:

Simplifying
6(2y + -1) + -2(2y) = 14

Reorder the terms:
6(-1 + 2y) + -2(2y) = 14
(-1 * 6 + 2y * 6) + -2(2y) = 14
(-6 + 12y) + -2(2y) = 14

Remove parenthesis around (2y)
-6 + 12y + -2 * 2y = 14

Multiply -2 * 2
-6 + 12y + -4y = 14

Combine like terms: 12y + -4y = 8y
-6 + 8y = 14

Solving
-6 + 8y = 14

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 + 8y = 14 + 6

Combine like terms: -6 + 6 = 0
0 + 8y = 14 + 6
8y = 14 + 6

Combine like terms: 14 + 6 = 20
8y = 20

Divide each side by '8'.
y = 2.5

Simplifying
y = 2.5