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

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

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

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

Combine like terms: -12y + 2y = -10y
6 + -10y = 4(y + 6)

Reorder the terms:
6 + -10y = 4(6 + y)
6 + -10y = (6 * 4 + y * 4)
6 + -10y = (24 + 4y)

Solving
6 + -10y = 24 + 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 = 24 + 4y + -4y

Combine like terms: -10y + -4y = -14y
6 + -14y = 24 + 4y + -4y

Combine like terms: 4y + -4y = 0
6 + -14y = 24 + 0
6 + -14y = 24

Add '-6' to each side of the equation.
6 + -6 + -14y = 24 + -6

Combine like terms: 6 + -6 = 0
0 + -14y = 24 + -6
-14y = 24 + -6

Combine like terms: 24 + -6 = 18
-14y = 18

Divide each side by '-14'.
y = -1.285714286

Simplifying
y = -1.285714286