3(2y-2)-2(y-3)+6y=5

Solution for 3(2y-2)-2(y-3)+6y=5 equation:

Simplifying
3(2y + -2) + -2(y + -3) + 6y = 5

Reorder the terms:
3(-2 + 2y) + -2(y + -3) + 6y = 5
(-2 * 3 + 2y * 3) + -2(y + -3) + 6y = 5
(-6 + 6y) + -2(y + -3) + 6y = 5

Reorder the terms:
-6 + 6y + -2(-3 + y) + 6y = 5
-6 + 6y + (-3 * -2 + y * -2) + 6y = 5
-6 + 6y + (6 + -2y) + 6y = 5

Reorder the terms:
-6 + 6 + 6y + -2y + 6y = 5

Combine like terms: -6 + 6 = 0
0 + 6y + -2y + 6y = 5
6y + -2y + 6y = 5

Combine like terms: 6y + -2y = 4y
4y + 6y = 5

Combine like terms: 4y + 6y = 10y
10y = 5

Solving
10y = 5

Solving for variable 'y'.

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

Divide each side by '10'.
y = 0.5

Simplifying
y = 0.5