Okay, I'm in a calculus class but stuck on some algebra...it's not crucial that I get the answer to this but I'm wracking my brain because I can't remember how the following is obtained; if you can show me how this is done in steps I'd greatly appreciate it (I highly suspect it's something simple):

Question

y / (1 - y) = x

solving for y is (I don't know what is being done in between to solve for y):

y = x / (1 + x)

I don't know why I'm having such a hard time with this, thanks for your help in advance.

Answer 1

y / (1 - y) = x

As usual, clear the fraction by multiplying by the denominator:

y = x(1-y)

Now expand to remove parentheses:

y = x - xy

Now collect the y's on one side:

y+xy = x

Factor out the y:

y(1+x) = x

I think you can probably make it from here, no?

Answer 2

Alright I got it thanks so much!!