(y-3)-(y+6)=7y

Solution for (y-3)-(y+6)=7y equation:

Simplifying
(y + -3) + -1(y + 6) = 7y

Reorder the terms:
(-3 + y) + -1(y + 6) = 7y

Remove parenthesis around (-3 + y)
-3 + y + -1(y + 6) = 7y

Reorder the terms:
-3 + y + -1(6 + y) = 7y
-3 + y + (6 * -1 + y * -1) = 7y
-3 + y + (-6 + -1y) = 7y

Reorder the terms:
-3 + -6 + y + -1y = 7y

Combine like terms: -3 + -6 = -9
-9 + y + -1y = 7y

Combine like terms: y + -1y = 0
-9 + 0 = 7y
-9 = 7y

Solving
-9 = 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-9 + -7y = 7y + -7y

Combine like terms: 7y + -7y = 0
-9 + -7y = 0

Add '9' to each side of the equation.
-9 + 9 + -7y = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -7y = 0 + 9
-7y = 0 + 9

Combine like terms: 0 + 9 = 9
-7y = 9

Divide each side by '-7'.
y = -1.285714286

Simplifying
y = -1.285714286