Wonder if some smart arse can clear something up for me, as i can't seem to get my head round it

..........
Say for instance you have a car worth £10k-ish but you want something smaller and cheaper, say around £5k-ish mark.
How does it work with the £10k car and the £5k difference?
Also taking into account:
The £11k Finance outstanding on a £10k car.
Will it mean that the £5k difference gets taken off of the over all amount outstanding on the £11k finance, leaving only £6k finance outstanding?
Confused? I am