12-2y-3(y+2)=4y+6-y

Solution for 12-2y-3(y+2)=4y+6-y equation:

Simplifying
12 + -2y + -3(y + 2) = 4y + 6 + -1y

Reorder the terms:
12 + -2y + -3(2 + y) = 4y + 6 + -1y
12 + -2y + (2 * -3 + y * -3) = 4y + 6 + -1y
12 + -2y + (-6 + -3y) = 4y + 6 + -1y

Reorder the terms:
12 + -6 + -2y + -3y = 4y + 6 + -1y

Combine like terms: 12 + -6 = 6
6 + -2y + -3y = 4y + 6 + -1y

Combine like terms: -2y + -3y = -5y
6 + -5y = 4y + 6 + -1y

Reorder the terms:
6 + -5y = 6 + 4y + -1y

Combine like terms: 4y + -1y = 3y
6 + -5y = 6 + 3y

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

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

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

Solving
-5y = 3y

Solving for variable 'y'.

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

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

Combine like terms: -5y + -3y = -8y
-8y = 3y + -3y

Combine like terms: 3y + -3y = 0
-8y = 0

Divide each side by '-8'.
y = 0

Simplifying
y = 0