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

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

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

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

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

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

Combine like terms: -1 + -1 = -2
2(-2 + y) = y + 1
(-2 * 2 + y * 2) = y + 1
(-4 + 2y) = y + 1

Reorder the terms:
-4 + 2y = 1 + y

Solving
-4 + 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.
-4 + 2y + -1y = 1 + y + -1y

Combine like terms: 2y + -1y = 1y
-4 + 1y = 1 + y + -1y

Combine like terms: y + -1y = 0
-4 + 1y = 1 + 0
-4 + 1y = 1

Add '4' to each side of the equation.
-4 + 4 + 1y = 1 + 4

Combine like terms: -4 + 4 = 0
0 + 1y = 1 + 4
1y = 1 + 4

Combine like terms: 1 + 4 = 5
1y = 5

Divide each side by '1'.
y = 5

Simplifying
y = 5