[max51]

>I don't understand why voting machines can't just print your vote on a piece of paper behind a plastic window for you to see while also recoding the vote in a database

If it's counted electronically from the database, the piece of paper is completely worthless. Unless you can get the entire voting population to give you their paper and then count them, you will never know if the count is right. If a hacker switched 15% of the vote from one party to another, how could you tell from a piece of paper that tells you who you voted for?

[tryauuum]

you can count the paper votes only in your voting point/building. If there are abnormalities you can alert other people to trigger the global recounting

Yes, it's not foolproof, attacker can just modify the electronic voting data in places where he knows people don't usually do recounting. But it makes his job harder