(y-6)-(y+3)=9y

Solution for (y-6)-(y+3)=9y equation:

Simplifying
(y + -6) + -1(y + 3) = 9y

Reorder the terms:
(-6 + y) + -1(y + 3) = 9y

Remove parenthesis around (-6 + y)
-6 + y + -1(y + 3) = 9y

Reorder the terms:
-6 + y + -1(3 + y) = 9y
-6 + y + (3 * -1 + y * -1) = 9y
-6 + y + (-3 + -1y) = 9y

Reorder the terms:
-6 + -3 + y + -1y = 9y

Combine like terms: -6 + -3 = -9
-9 + y + -1y = 9y

Combine like terms: y + -1y = 0
-9 + 0 = 9y
-9 = 9y

Solving
-9 = 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
-9 + -9y = 9y + -9y

Combine like terms: 9y + -9y = 0
-9 + -9y = 0

Add '9' to each side of the equation.
-9 + 9 + -9y = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -9y = 0 + 9
-9y = 0 + 9

Combine like terms: 0 + 9 = 9
-9y = 9

Divide each side by '-9'.
y = -1

Simplifying
y = -1