It's a matter of distance.  The drink machine in the building I'm standing in is over there... away from here.  The company that produces the drinks is in another city, far away.  It's like in Spanish allí and allá.

Yes.  Far away would imply that the object is a greater distance from you than if you just said away.  But it's all relative to the speaker and the object we're talking about.  My son will sometimes not want to get up and get the remote control for the television because it's "far away" when it's just on the other side of the room.  If it was 3 feet from him he'd think it's away from him, but he'd be willing to get it.  So there is no specific distance that relates to either term.

So "far away" is far more than "away"??