(y-4)-(y+8)=5y

Solution for (y-4)-(y+8)=5y equation:

Simplifying
(y + -4) + -1(y + 8) = 5y

Reorder the terms:
(-4 + y) + -1(y + 8) = 5y

Remove parenthesis around (-4 + y)
-4 + y + -1(y + 8) = 5y

Reorder the terms:
-4 + y + -1(8 + y) = 5y
-4 + y + (8 * -1 + y * -1) = 5y
-4 + y + (-8 + -1y) = 5y

Reorder the terms:
-4 + -8 + y + -1y = 5y

Combine like terms: -4 + -8 = -12
-12 + y + -1y = 5y

Combine like terms: y + -1y = 0
-12 + 0 = 5y
-12 = 5y

Solving
-12 = 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.
-12 + -5y = 5y + -5y

Combine like terms: 5y + -5y = 0
-12 + -5y = 0

Add '12' to each side of the equation.
-12 + 12 + -5y = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -5y = 0 + 12
-5y = 0 + 12

Combine like terms: 0 + 12 = 12
-5y = 12

Divide each side by '-5'.
y = -2.4

Simplifying
y = -2.4