Exorcist Type Horror with an Orgy and Bestiality

by Phil
(St John's Newfoundland, Canada)

This may sound like I'm twisted but, I'm trying to figure out the title or name of a horror / exorcism movie that was in theatres in the late 70's or 80's. It was in the same genre as "The Exorcist" but had a somewhat... different twist.

The subject matter was similar to "The Exorcist", "Possession" & "Demonization" but the story also had some somewhat twisted elements depending on your taste. It contained what appeared to be (my memory isn't what it used to be) a scene where there was an ORGY and also another where the victim took part in some sort of rite of passage using a goat.

Anybody have an idea what the name of that movie was?