Second Floor

Algebra Level 5

If $$y=\left\lfloor 2x+5 \right\rfloor =3\left\lfloor x-4 \right\rfloor$$ and the product of all the distinct values of $$\left\lfloor 3x+y \right\rfloor$$ is $$A$$, find $$A \pmod{2016}$$.

Notation: $$\left\lfloor . \right\rfloor$$ denotes the Floor Function

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