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)

Solving
3 + 6y = -3 + 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.
3 + 6y + -3y = -3 + 3y + -3y

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

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

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

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

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

Divide each side by '3'.
y = -2

Simplifying
y = -2