(6y+6)-(4+5y)=12

Solution for (6y+6)-(4+5y)=12 equation:

Simplifying
(6y + 6) + -1(4 + 5y) = 12

Reorder the terms:
(6 + 6y) + -1(4 + 5y) = 12

Remove parenthesis around (6 + 6y)
6 + 6y + -1(4 + 5y) = 12
6 + 6y + (4 * -1 + 5y * -1) = 12
6 + 6y + (-4 + -5y) = 12

Reorder the terms:
6 + -4 + 6y + -5y = 12

Combine like terms: 6 + -4 = 2
2 + 6y + -5y = 12

Combine like terms: 6y + -5y = 1y
2 + 1y = 12

Solving
2 + 1y = 12

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + 1y = 12 + -2

Combine like terms: 2 + -2 = 0
0 + 1y = 12 + -2
1y = 12 + -2

Combine like terms: 12 + -2 = 10
1y = 10

Divide each side by '1'.
y = 10

Simplifying
y = 10