solve for y:
y+5/y+4 = y+7/y+3 +1

Question

anonymous · Answer

you have to get all the ys on one side, and then use the quadratic equation. 

here's what i get

0 = y^2+10y+25, using quadratic, i get
y = -5

anonymous · Answer

rosie got it and the check is easy, replace x by -5 and see if it works. do you need the steps?

anonymous · Answer

yes please ?

anonymous · Answer

is there more than one solution for this equation

anonymous · Answer

oh, here were my steps!

1. put the +1 on the same denominator
$$y+5/y+4 = (y+7+y+3)/y+3$$
to get
$$y+5/y+4=(2y+10)/y+3$$

2. Cross multiply
(y+5)*(y+3)=(2y+10)*(y+4)

3. open everything up
y^2+8y+15=2y^2+18y+40

4. bring it all to one side
0=y^2+10y+25

5. Use the quadratic, or just factor since its a perfect square
0 = (y+5)^2

then isolate for y, so y=-5

hope this is a better explanation!