2(y+3)=-2(5y-1)+6y

Solution for 2(y+3)=-2(5y-1)+6y equation:

Simplifying
2(y + 3) = -2(5y + -1) + 6y

Reorder the terms:
2(3 + y) = -2(5y + -1) + 6y
(3 * 2 + y * 2) = -2(5y + -1) + 6y
(6 + 2y) = -2(5y + -1) + 6y

Reorder the terms:
6 + 2y = -2(-1 + 5y) + 6y
6 + 2y = (-1 * -2 + 5y * -2) + 6y
6 + 2y = (2 + -10y) + 6y

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

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

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

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

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

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

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

Divide each side by '6'.
y = -0.6666666667

Simplifying
y = -0.6666666667