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

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

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

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

Reorder the terms:
6 + 6y = -2(-1 + 4y) + 4y
6 + 6y = (-1 * -2 + 4y * -2) + 4y
6 + 6y = (2 + -8y) + 4y

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

Solving
6 + 6y = 2 + -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 + 6y + 4y = 2 + -4y + 4y

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

Combine like terms: -4y + 4y = 0
6 + 10y = 2 + 0
6 + 10y = 2

Add '-6' to each side of the equation.
6 + -6 + 10y = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 10y = 2 + -6
10y = 2 + -6

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

Divide each side by '10'.
y = -0.4

Simplifying
y = -0.4