If you really want clean and looking like new brass:
Punch out primers with universal decapper die (die body never touches the dirty cases)
Wet tumble in HOT water, SS media, Dawn dish soap, & 1/2 tbsp of citric acid powder (main ingredient of brass polish, available at organic food shops)
dry cases As Gaucho said, food dehydrator works great
lube cases and resize
remove lube (I wet tumble again in just hot water and Dawn dish soap. My case lube is water soluble.)
dry cases.
trim, chamfer, deburr, ream primer pockets
dry tumble in ground walnut lizard bedding with one capful of Nu Finish car polish
When they come out of the final dry tumble you would swear they were brand new.
Obviously if your process is different, some steps will be skipped