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

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

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

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

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

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

Reorder the terms:
5 + -1y = 2 + -3 + 2y + 3y

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

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

Solving
5 + -1y = -1 + 5y

Solving for variable 'y'.

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

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

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

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

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

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

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

Divide each side by '-6'.
y = 1

Simplifying
y = 1