The same way that a shadow moves across a wall when you move your hand in front of the lamp, or the same way a vacuum spreads when you open a spaceship door. It isn’t spreading into the spaceship, but rather the air is rushing out to fill the void. Just the same way that heat rushes into a cold object to fill a void of energy.
Or, realistically, the air is just pressure pushing things out and likewise heat moving into a cold area because it now can, which takes cold out of the previous warm area, but that’s less ELI5.
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