Yes, you can fly with 80 proof alcohol (which is 40% alcohol by volume), but there are strict rules on where and how you pack it. In checked baggage, you can pack an unlimited amount of alcohol that is under 24% ABV (like wine or beer) and up to 5 liters (1.3 gallons) of alcohol between 24% and 70% ABV (which includes 80 proof spirits). The bottles must be in their original, unopened retail packaging. In carry-on luggage, you are restricted by the standard "3-1-1" rule: all liquids must be in containers of 3.4 oz (100ml) or less and fit in a single quart-sized bag. The only exception for larger carry-on bottles is for alcohol purchased at a Duty-Free shop after security, which is placed in a "Secure Tamper-Evident Bag" (STEB). It is also strictly illegal to consume your own alcohol on board the aircraft; FAA regulations require that all alcohol consumed on a flight must be served by the airline's crew to ensure passenger safety and sobriety levels.