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

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

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

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

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

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

Combine like terms: 6 + -2 = 4
6 + -2y = 4 + 6y

Solving
6 + -2y = 4 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
6 + -2y + -6y = 4 + 6y + -6y

Combine like terms: -2y + -6y = -8y
6 + -8y = 4 + 6y + -6y

Combine like terms: 6y + -6y = 0
6 + -8y = 4 + 0
6 + -8y = 4

Add '-6' to each side of the equation.
6 + -6 + -8y = 4 + -6

Combine like terms: 6 + -6 = 0
0 + -8y = 4 + -6
-8y = 4 + -6

Combine like terms: 4 + -6 = -2
-8y = -2

Divide each side by '-8'.
y = 0.25

Simplifying
y = 0.25