(7y+6)-(3+6y)=8

Solution for (7y+6)-(3+6y)=8 equation:

Simplifying
(7y + 6) + -1(3 + 6y) = 8

Reorder the terms:
(6 + 7y) + -1(3 + 6y) = 8

Remove parenthesis around (6 + 7y)
6 + 7y + -1(3 + 6y) = 8
6 + 7y + (3 * -1 + 6y * -1) = 8
6 + 7y + (-3 + -6y) = 8

Reorder the terms:
6 + -3 + 7y + -6y = 8

Combine like terms: 6 + -3 = 3
3 + 7y + -6y = 8

Combine like terms: 7y + -6y = 1y
3 + 1y = 8

Solving
3 + 1y = 8

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 = 8 + -3

Combine like terms: 3 + -3 = 0
0 + 1y = 8 + -3
1y = 8 + -3

Combine like terms: 8 + -3 = 5
1y = 5

Divide each side by '1'.
y = 5

Simplifying
y = 5