From the Super Mario Wiki
Egg Lay is Yoshi's neutral special move in the Super Smash Bros. series. Based on Yoshi's ability to turn enemies into eggs in the Yoshi franchise, Yoshi sticks out his tongue to grab opponents, and if he grabs one he swallows them and lays an egg with the opponent trapped inside and open to attack; the amount of time they are trapped is increased the higher their damage is, though they can escape more quickly by mashing buttons.
In Super Smash Bros. for Nintendo 3DS / Wii U Egg Lay has two custom variants:
Lick can't grab fighters, but instead, Yoshi jumps forward and uses his tongue to attack nearby opponents.
Egg Launch enables Yoshi to launch opponents farther than normal after turning them into eggs. However, the trapped opponents can break free from the egg more easily. This attack can be used to send opponents off-stage, which can potentially give Yoshi KOs if his target's horizontal recovery is poor.
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