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In order to judge, is the given mathematical object a function or not, you should have a DEFINITION of this object as a function.
This definition might be DIRECT and EXPLICIT, or clear from a context.
An equation is NOT a definition of a function.
Even an expression is not a definition of a function, although at some context it might be.
In the given post, there is NO definition of the function "y", NEITHER explicit NOR from the context.
Therefore, there is no a base to discuss the subject.
Mathematics is not playing words.