(y-6)-(y+3)=2y

Solution for (y-6)-(y+3)=2y equation:

Simplifying
(y + -6) + -1(y + 3) = 2y

Reorder the terms:
(-6 + y) + -1(y + 3) = 2y

Remove parenthesis around (-6 + y)
-6 + y + -1(y + 3) = 2y

Reorder the terms:
-6 + y + -1(3 + y) = 2y
-6 + y + (3 * -1 + y * -1) = 2y
-6 + y + (-3 + -1y) = 2y

Reorder the terms:
-6 + -3 + y + -1y = 2y

Combine like terms: -6 + -3 = -9
-9 + y + -1y = 2y

Combine like terms: y + -1y = 0
-9 + 0 = 2y
-9 = 2y

Solving
-9 = 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-9 + -2y = 2y + -2y

Combine like terms: 2y + -2y = 0
-9 + -2y = 0

Add '9' to each side of the equation.
-9 + 9 + -2y = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -2y = 0 + 9
-2y = 0 + 9

Combine like terms: 0 + 9 = 9
-2y = 9

Divide each side by '-2'.
y = -4.5

Simplifying
y = -4.5