(y-8)-(y+6)=5y

Solution for (y-8)-(y+6)=5y equation:

Simplifying
(y + -8) + -1(y + 6) = 5y

Reorder the terms:
(-8 + y) + -1(y + 6) = 5y

Remove parenthesis around (-8 + y)
-8 + y + -1(y + 6) = 5y

Reorder the terms:
-8 + y + -1(6 + y) = 5y
-8 + y + (6 * -1 + y * -1) = 5y
-8 + y + (-6 + -1y) = 5y

Reorder the terms:
-8 + -6 + y + -1y = 5y

Combine like terms: -8 + -6 = -14
-14 + y + -1y = 5y

Combine like terms: y + -1y = 0
-14 + 0 = 5y
-14 = 5y

Solving
-14 = 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.
-14 + -5y = 5y + -5y

Combine like terms: 5y + -5y = 0
-14 + -5y = 0

Add '14' to each side of the equation.
-14 + 14 + -5y = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -5y = 0 + 14
-5y = 0 + 14

Combine like terms: 0 + 14 = 14
-5y = 14

Divide each side by '-5'.
y = -2.8

Simplifying
y = -2.8