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y-1=x-1
Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by x-1.
x-1=y-1
Swap sides so that all variable terms are on the left hand side.
x=y-1+1
Add 1 to both sides.
x=y
Add -1 and 1 to get 0.
x=y\text{, }x\neq 1
Variable x cannot be equal to 1.
y-1=x-1
Multiply both sides of the equation by x-1.
y=x-1+1
Add 1 to both sides.
y=x
Add -1 and 1 to get 0.