2(y-1)=y+1

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

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

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

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

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

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

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

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

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

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

Divide each side by '1'.
y = 3

Simplifying
y = 3