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

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

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

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

Multiply 2 * 1
3 + -1y = 2 + y + -1

Reorder the terms:
3 + -1y = 2 + -1 + y

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

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

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

Combine like terms: y + -1y = 0
3 + -2y = 1 + 0
3 + -2y = 1

Add '-3' to each side of the equation.
3 + -3 + -2y = 1 + -3

Combine like terms: 3 + -3 = 0
0 + -2y = 1 + -3
-2y = 1 + -3

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

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

Simplifying
y = 1