Question: how to simplify this simple expression?

hi , there is a simple expression ,

1D-input code: 

3*G*(`Δγ`*H - `σy`(`Δγ`) + q)/(-q + `σy`(`Δγ`))^2;

 

and I want to simplify it like below ,but failed  ,

 

hope for the result:

3*G*`Δγ`*H/(q - `σy`(`Δγ`))^2 - 3*G/(q - `σy`(`Δγ`));

then  I'd like to use algsubs , but again  a error occurs.

1D-input :

algsubs(3*G*`Δγ`/(q - `σy`(`Δγ`)) = y, 3*G*`Δγ`*H/(q - `σy`(`Δγ`))^2 - 3*G/(q - `σy`(`Δγ`)));

 

hope for some suggestions . thanks!

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