2(3y-1)-4=2y-(6-y)

Solution for 2(3y-1)-4=2y-(6-y) equation:

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

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

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

Combine like terms: -2 + -4 = -6
-6 + 6y = 2y + -1(6 + -1y)
-6 + 6y = 2y + (6 * -1 + -1y * -1)
-6 + 6y = 2y + (-6 + 1y)

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

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

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

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

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

Solving
6y = 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.
6y + -3y = 3y + -3y

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

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

Divide each side by '3'.
y = 0

Simplifying
y = 0