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

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

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

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

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

Remove parenthesis around (-1 + y)
-6 + 3y = -1 + y + -3y

Combine like terms: y + -3y = -2y
-6 + 3y = -1 + -2y

Solving
-6 + 3y = -1 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-6 + 3y + 2y = -1 + -2y + 2y

Combine like terms: 3y + 2y = 5y
-6 + 5y = -1 + -2y + 2y

Combine like terms: -2y + 2y = 0
-6 + 5y = -1 + 0
-6 + 5y = -1

Add '6' to each side of the equation.
-6 + 6 + 5y = -1 + 6

Combine like terms: -6 + 6 = 0
0 + 5y = -1 + 6
5y = -1 + 6

Combine like terms: -1 + 6 = 5
5y = 5

Divide each side by '5'.
y = 1

Simplifying
y = 1