Question

Find y

Answer 1

We have
\[\frac{y^2-4}{y+3}=2-\frac{y-2}{y+3}\]
Multiply whole equation by y+3, we get
\[y^2-4=2(y+3)-(y-2)\]
we get
\[y^2-4=2y+6-y+2\]
Do you get this?

Answer 2

Yeah, but I can't get it all the way simplified.

Answer 3

I'll help you with that
combine 2y and -y first on the left side
what do you get?

Answer 4

y.
I just keep ending up at y^2-4 = y+8 thought.

Answer 5

now bring all the terms to left side

Answer 6

y^2-y-12?

Answer 7

Do you know quadratic formula?

Answer 8

Ohhhhhhhhhhhhhhhh, thanks. I get it now, haha.

Answer 9

y=4 or y=-3, but it can't make a denominator in the original equation 0, so y=4.

Answer 10

good:D work:D