Thank you for your help I have tried to attach the picture from the Moped manual for the 50V. (It's on the same page as the display in the manual showing your model '7' carb.) Clearly the picture in the manual shows the cable coming in from the top as you described - but oddly enough, I really don't think mine worked that way most recently. (Maybe a mechanic tweaked things at some point in it's life, I don't know.) I don't have the rubber piece you are referring to, but I may have had it and lost it. The white plastic piece I am referring to does not fit all the way into the opening from the bottom, so it might be the bottom seat.
Anybody have a clean digital shot of a 50V carb? I have one from before I took it apart and I will post that tonight for your to see. Thank again Ron.
I'll give it another shot...