(7y+6)-(3+6y)=12

Solution for (7y+6)-(3+6y)=12 equation:

Simplifying
(7y + 6) + -1(3 + 6y) = 12

Reorder the terms:
(6 + 7y) + -1(3 + 6y) = 12

Remove parenthesis around (6 + 7y)
6 + 7y + -1(3 + 6y) = 12
6 + 7y + (3 * -1 + 6y * -1) = 12
6 + 7y + (-3 + -6y) = 12

Reorder the terms:
6 + -3 + 7y + -6y = 12

Combine like terms: 6 + -3 = 3
3 + 7y + -6y = 12

Combine like terms: 7y + -6y = 1y
3 + 1y = 12

Solving
3 + 1y = 12

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 = 12 + -3

Combine like terms: 3 + -3 = 0
0 + 1y = 12 + -3
1y = 12 + -3

Combine like terms: 12 + -3 = 9
1y = 9

Divide each side by '1'.
y = 9

Simplifying
y = 9