3y-1(y-1)=y

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

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

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

Reorder the terms:
1 + 3y + -1y = y

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

Solving
1 + 2y = y

Solving for variable 'y'.

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

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

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

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

Add '-1' to each side of the equation.
1 + -1 + 1y = 0 + -1

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

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

Divide each side by '1'.
y = -1

Simplifying
y = -1