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

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

Simplifying
(6y + 6) + -1(3 + 5y) = 6

Reorder the terms:
(6 + 6y) + -1(3 + 5y) = 6

Remove parenthesis around (6 + 6y)
6 + 6y + -1(3 + 5y) = 6
6 + 6y + (3 * -1 + 5y * -1) = 6
6 + 6y + (-3 + -5y) = 6

Reorder the terms:
6 + -3 + 6y + -5y = 6

Combine like terms: 6 + -3 = 3
3 + 6y + -5y = 6

Combine like terms: 6y + -5y = 1y
3 + 1y = 6

Solving
3 + 1y = 6

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 + 1y = 6 + -3

Combine like terms: 3 + -3 = 0
0 + 1y = 6 + -3
1y = 6 + -3

Combine like terms: 6 + -3 = 3
1y = 3

Divide each side by '1'.
y = 3

Simplifying
y = 3