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

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

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

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

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

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

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

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

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

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

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

Divide each side by '1'.
y = 3

Simplifying
y = 3