(-8y+3)+(2y-9)=(y-6)

Solution for (-8y+3)+(2y-9)=(y-6) equation:

Simplifying
(-8y + 3) + (2y + -9) = (y + -6)

Reorder the terms:
(3 + -8y) + (2y + -9) = (y + -6)

Remove parenthesis around (3 + -8y)
3 + -8y + (2y + -9) = (y + -6)

Reorder the terms:
3 + -8y + (-9 + 2y) = (y + -6)

Remove parenthesis around (-9 + 2y)
3 + -8y + -9 + 2y = (y + -6)

Reorder the terms:
3 + -9 + -8y + 2y = (y + -6)

Combine like terms: 3 + -9 = -6
-6 + -8y + 2y = (y + -6)

Combine like terms: -8y + 2y = -6y
-6 + -6y = (y + -6)

Reorder the terms:
-6 + -6y = (-6 + y)

Remove parenthesis around (-6 + y)
-6 + -6y = -6 + y

Add '6' to each side of the equation.
-6 + 6 + -6y = -6 + 6 + y

Combine like terms: -6 + 6 = 0
0 + -6y = -6 + 6 + y
-6y = -6 + 6 + y

Combine like terms: -6 + 6 = 0
-6y = 0 + y
-6y = y

Solving
-6y = y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-6y + -1y = y + -1y

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

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

Divide each side by '-7'.
y = 0

Simplifying
y = 0