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

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

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

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

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

Add '-3' to each side of the equation.
3 + -3 + 6y = 3 + -3 + -3y

Combine like terms: 3 + -3 = 0
0 + 6y = 3 + -3 + -3y
6y = 3 + -3 + -3y

Combine like terms: 3 + -3 = 0
6y = 0 + -3y
6y = -3y

Solving
6y = -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
6y + 3y = -3y + 3y

Combine like terms: 6y + 3y = 9y
9y = -3y + 3y

Combine like terms: -3y + 3y = 0
9y = 0

Divide each side by '9'.
y = 0

Simplifying
y = 0