(y-6)-(y+9)=5y

Solution for (y-6)-(y+9)=5y equation:

Simplifying
(y + -6) + -1(y + 9) = 5y

Reorder the terms:
(-6 + y) + -1(y + 9) = 5y

Remove parenthesis around (-6 + y)
-6 + y + -1(y + 9) = 5y

Reorder the terms:
-6 + y + -1(9 + y) = 5y
-6 + y + (9 * -1 + y * -1) = 5y
-6 + y + (-9 + -1y) = 5y

Reorder the terms:
-6 + -9 + y + -1y = 5y

Combine like terms: -6 + -9 = -15
-15 + y + -1y = 5y

Combine like terms: y + -1y = 0
-15 + 0 = 5y
-15 = 5y

Solving
-15 = 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.
-15 + -5y = 5y + -5y

Combine like terms: 5y + -5y = 0
-15 + -5y = 0

Add '15' to each side of the equation.
-15 + 15 + -5y = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -5y = 0 + 15
-5y = 0 + 15

Combine like terms: 0 + 15 = 15
-5y = 15

Divide each side by '-5'.
y = -3

Simplifying
y = -3