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

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

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

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

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

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

Remove parenthesis around (-1 + y)
2 + -1y = -1 + y + 1

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

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

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

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

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

Add '-2' to each side of the equation.
2 + -2 + -2y = 0 + -2

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

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

Divide each side by '-2'.
y = 1

Simplifying
y = 1