Sketch of $(y^2-1)\sin\big(\cosh(x^3y)\big)=x^2-4$

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So I'm in enriched math and teacher asks us to draw the graph(sketch) of

$$(y^2-1)\sin\big(\cosh(x^3y)\big)=x^2-4$$

How to do it? :S

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Are you positive your teacher wasn't joking?