Fermat 2023 Part A - Question 2, CEMC UWaterloo

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This problem is tagged with fermat, fermat23, highschool.

(Fermat 2023, Part A, Question 2, CEMC - UWaterloo)

If $3+x=5$ and $-3+y=5$, then $x+y$ equals
$(A)$ $4$
$(B)$ $16$
$(C)$ $6$
$(D)$ $12$
$(E)$ $10$

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