2y-(y+1)=1

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

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

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

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

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

Solving
-1 + 1y = 1

Solving for variable 'y'.

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

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

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

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

Divide each side by '1'.
y = 2

Simplifying
y = 2