Frequently asked: why does the Bitcoin I send + service fee + miner fee = amount of Bitcoin I own?

Perhaps you don’t mean the total amount you own, but the total amount of Bitcoin actually being sent?

What you send - network fee - service fee (if wallet has it) = what person receives.

Basically, works just like any other method of payment.

If you don’t want to pay service fees, then use a client that interacts directly with the Bitcoin network, so all the fees you pay actually go to the miners (this is also usually cheaper).