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

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

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

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

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

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

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

Combine like terms: -6 + -7 = -13
-13 + y + -1y = 5y

Combine like terms: y + -1y = 0
-13 + 0 = 5y
-13 = 5y

Solving
-13 = 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-13 + -5y = 5y + -5y

Combine like terms: 5y + -5y = 0
-13 + -5y = 0

Add '13' to each side of the equation.
-13 + 13 + -5y = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -5y = 0 + 13
-5y = 0 + 13

Combine like terms: 0 + 13 = 13
-5y = 13

Divide each side by '-5'.
y = -2.6

Simplifying
y = -2.6