First, we need to calculate the total number of cookies that were baked by Alyssa and Jennifer.
Alyssa baked 25 cookies and Jennifer baked 37 cookies, so the total number of cookies baked is:
\[ 25 + 37 = 62 \]
Now, we know that a total of 55 cookies were eaten. To find out how many cookies are left over, we subtract the number of cookies eaten from the total number of cookies baked:
\[ 62 - 55 = 7 \]
Therefore, the number of cookies left over is:
\[ \boxed{7} \]
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