Mirror Glass Removal

I want to replace the rearview mirror glass in my car. It's really hazy and pretty useless.

I've got the mirror off, but the glass is still glued to the housing. Is there a way to dissolve the glue or get the glass out without breaking it? I've tried to pry it out with a putty knife, but it feels like it's gonna break.
Author: 6pk2goDemon