6(y+1)-9=3(y-1)+2y

Solution for 6(y+1)-9=3(y-1)+2y equation:

Simplifying
6(y + 1) + -9 = 3(y + -1) + 2y

Reorder the terms:
6(1 + y) + -9 = 3(y + -1) + 2y
(1 * 6 + y * 6) + -9 = 3(y + -1) + 2y
(6 + 6y) + -9 = 3(y + -1) + 2y

Reorder the terms:
6 + -9 + 6y = 3(y + -1) + 2y

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

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

Combine like terms: 3y + 2y = 5y
-3 + 6y = -3 + 5y

Add '3' to each side of the equation.
-3 + 3 + 6y = -3 + 3 + 5y

Combine like terms: -3 + 3 = 0
0 + 6y = -3 + 3 + 5y
6y = -3 + 3 + 5y

Combine like terms: -3 + 3 = 0
6y = 0 + 5y
6y = 5y

Solving
6y = 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.
6y + -5y = 5y + -5y

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

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

Divide each side by '1'.
y = 0

Simplifying
y = 0