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

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

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

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

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

Combine like terms: 6 + 6 = 12
-5 + y + -1(12) = 7y

Multiply -1 * 12
-5 + y + -12 = 7y

Reorder the terms:
-5 + -12 + y = 7y

Combine like terms: -5 + -12 = -17
-17 + y = 7y

Solving
-17 + y = 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-17 + y + -7y = 7y + -7y

Combine like terms: y + -7y = -6y
-17 + -6y = 7y + -7y

Combine like terms: 7y + -7y = 0
-17 + -6y = 0

Add '17' to each side of the equation.
-17 + 17 + -6y = 0 + 17

Combine like terms: -17 + 17 = 0
0 + -6y = 0 + 17
-6y = 0 + 17

Combine like terms: 0 + 17 = 17
-6y = 17

Divide each side by '-6'.
y = -2.833333333

Simplifying
y = -2.833333333