So here’s the thing: it doesn’t.
The can has exactly the same pressure inside whether you shake it or not.
When you shake it though you create a bunch of bubbles. The bubbles you create in jostling the soda allow more of the gasses to escape. The more the gas can patch onto things, the more escapes at once. That’s why dropping mentos into soda makes it explode, because the gasses are latching onto the rough surface of the candies
The reason it doesn’t explode after you shake it and leave it back alone is because all the little bubbles inside the can eventually pop. You can even help that process along by tapping the sides and top of the can after it’s shook.
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