I read the other responses to your question, and I feel like they're all using complicated language and are still ambiguous.
Can we have a simple "for dummies" answer that explains how does the system guarantee that nobody's creating money without notifying everyone in practice?
Is there some kind of a public ledger? Do banks automatically broadcast their money creation operation to other banks?
Well the simple way to look at this is that usually when you transact with another bank, you're required to have an account at that bank. Just as a consumer can't magically change their balance, a bank simply can't magically increase their balance at other banks. To perform increased transactions, you have to send money to that bank.
Can we have a simple "for dummies" answer that explains how does the system guarantee that nobody's creating money without notifying everyone in practice?
Is there some kind of a public ledger? Do banks automatically broadcast their money creation operation to other banks?