-2(6y-3)+2y=5+2(2y-3)

Solution for -2(6y-3)+2y=5+2(2y-3) equation:

Simplifying
-2(6y + -3) + 2y = 5 + 2(2y + -3)

Reorder the terms:
-2(-3 + 6y) + 2y = 5 + 2(2y + -3)
(-3 * -2 + 6y * -2) + 2y = 5 + 2(2y + -3)
(6 + -12y) + 2y = 5 + 2(2y + -3)

Combine like terms: -12y + 2y = -10y
6 + -10y = 5 + 2(2y + -3)

Reorder the terms:
6 + -10y = 5 + 2(-3 + 2y)
6 + -10y = 5 + (-3 * 2 + 2y * 2)
6 + -10y = 5 + (-6 + 4y)

Combine like terms: 5 + -6 = -1
6 + -10y = -1 + 4y

Solving
6 + -10y = -1 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
6 + -10y + -4y = -1 + 4y + -4y

Combine like terms: -10y + -4y = -14y
6 + -14y = -1 + 4y + -4y

Combine like terms: 4y + -4y = 0
6 + -14y = -1 + 0
6 + -14y = -1

Add '-6' to each side of the equation.
6 + -6 + -14y = -1 + -6

Combine like terms: 6 + -6 = 0
0 + -14y = -1 + -6
-14y = -1 + -6

Combine like terms: -1 + -6 = -7
-14y = -7

Divide each side by '-14'.
y = 0.5

Simplifying
y = 0.5