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

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

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

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

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

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

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

Combine like terms: -6 + -2 = -8
-8 + y + -1y = 5y

Combine like terms: y + -1y = 0
-8 + 0 = 5y
-8 = 5y

Solving
-8 = 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.
-8 + -5y = 5y + -5y

Combine like terms: 5y + -5y = 0
-8 + -5y = 0

Add '8' to each side of the equation.
-8 + 8 + -5y = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -5y = 0 + 8
-5y = 0 + 8

Combine like terms: 0 + 8 = 8
-5y = 8

Divide each side by '-5'.
y = -1.6

Simplifying
y = -1.6