(7y+5)-(2+6y)=5

Solution for (7y+5)-(2+6y)=5 equation:

Simplifying
(7y + 5) + -1(2 + 6y) = 5

Reorder the terms:
(5 + 7y) + -1(2 + 6y) = 5

Remove parenthesis around (5 + 7y)
5 + 7y + -1(2 + 6y) = 5
5 + 7y + (2 * -1 + 6y * -1) = 5
5 + 7y + (-2 + -6y) = 5

Reorder the terms:
5 + -2 + 7y + -6y = 5

Combine like terms: 5 + -2 = 3
3 + 7y + -6y = 5

Combine like terms: 7y + -6y = 1y
3 + 1y = 5

Solving
3 + 1y = 5

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 = 5 + -3

Combine like terms: 3 + -3 = 0
0 + 1y = 5 + -3
1y = 5 + -3

Combine like terms: 5 + -3 = 2
1y = 2

Divide each side by '1'.
y = 2

Simplifying
y = 2