Solve the equation xy = x + y for y.?

Question

Please explain/show work as well.

Answer 1

The first step is to combine all the y terms on one side of the equation so you can solve:
xy - y = x + y - y
xy - y = x
Now that all the y pieces are on one side of the equation, you should factor out a y:
y(x - 1) = x
To get the y by itself, all you have to do is divide both sides by (x-1)
y(x-1) / (x-1) = x/(x-1)

Giving you a final answer of
y = (x) / (x-1)

Answer 2

Subtract x from both sides. So xy - x = y. Basic algebra.

Answer 3

xy - y = x
y (x-1) = x
y = x/(x-1)