Still being emotionally abused by Alge-bruhh

I'll try to map out my work.

1. First I multiplied the reciprocal.
   • y * y + 6 | y^2 - 36 * 1
2. I think this would be
   • y^2 + 6 over y^2 - 36
3. So I got 1 over 6 yet the correct answer was y over y-6

Any explanation would be helpful I think.