Doomsday Excruciator enters the battlefield, it triggers, exiling all but the bottom six cards of each player's library.
Activate
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Rakdos by sacrificing
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Doomsday Excruciator.
When
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Doomsday Excruciator dies,
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Rakdos's first ability triggers, exiling the top six cards of an opponent's library.
When the opponent targeted in step 4 would draw a card during their next draw step, they will instead lose the game due to having zero cards in their library.
Notes
You can repeat steps 3 and 4 using other methods of sacrificing to exile other opponents' libraries. You can also activate
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Rakdos on subsequent turns to accomplish this. In order for this to work, you'll need to control an extra creature with power 6 or greater for each other opponent you have. Otherwise, this combo will only cause one opponent to have their library exiled and lose the game.