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You need to draw lots of pictures, otherwise it will remain too abstract.
Here's my attempt. You have two UTXOs, worth 0.3 and 0.7 BTC, as notes with a strip of magic bitcoinium or something:
+---+ +-------+ |XXX| |XXXXXXX| +---+ +-------+ | | | | |0.3| | 0.7 | | | | | | | | |
and if you want to pay someone 0.8 BTC, you put them together and prepare the new notes, the outputs:
| | | | | | |Ɛ˙0| ᠘˙0 | | | | +---+-------+ |XXX|XXXXXXX| +---+-------+ +--------+--+ | | | | .8 |.2| <- invalid until the transaction is processed | | | | | |
and as you sign the old notes, the strip of magic bitcoinium attaches to the new notes and redistributes itself into 0.8 and 0.2:
| | | | | | |Ɛ˙0| ᠘˙0 | <- spent | | | +---+-------+ +--------+--+ |XXXXXXXX|XX| +--------+--+ | | | | .8 |.2| | | | | | |
and then you pay with the 0.8 UTXO and pocket the 0.2 one as change.