Question

Simplify.
Please give an explanation or step-by-step answer.

Answer 1

`(2y)/(y^2-9y+18)-(1)/(y-6)=\\ (2y)/(y^2-3y-6y+18)-(1)/(y-6)=\\ (2y)/(y(y-3)-6(y-3))-(1)/(y-6)=\\ (2y)/((y-6)(y-3))-(1)/(y-6)=\\ (2y)/((y-6)(y-3))-(y-3)/((y-6)(y-3))=\\ (2y-y+3)/((y-6)(y-3))=\\ (y+3)/((y-6)(y-3))`