(7y+8)-(6+6y)=10

Solution for (7y+8)-(6+6y)=10 equation:

Simplifying
(7y + 8) + -1(6 + 6y) = 10

Reorder the terms:
(8 + 7y) + -1(6 + 6y) = 10

Remove parenthesis around (8 + 7y)
8 + 7y + -1(6 + 6y) = 10
8 + 7y + (6 * -1 + 6y * -1) = 10
8 + 7y + (-6 + -6y) = 10

Reorder the terms:
8 + -6 + 7y + -6y = 10

Combine like terms: 8 + -6 = 2
2 + 7y + -6y = 10

Combine like terms: 7y + -6y = 1y
2 + 1y = 10

Solving
2 + 1y = 10

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 = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 1y = 10 + -2
1y = 10 + -2

Combine like terms: 10 + -2 = 8
1y = 8

Divide each side by '1'.
y = 8

Simplifying
y = 8