y-x+1=0

Solution for y-x+1=0 equation:

Simplifying
y + -1x + 1 = 0

Reorder the terms:
1 + -1x + y = 0

Solving
1 + -1x + y = 0

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1x + -1 + y = 0 + -1

Reorder the terms:
1 + -1 + -1x + y = 0 + -1

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

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

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

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

Divide each side by '-1'.
x = 1 + y

Simplifying
x = 1 + y