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Determine the equation of the normal line to the following curve at the given point:x3+y3=8xyx^3 + y^3 = 8xy; (4,4)\(\left\)(4,4\(\right\))

Determine the equation of the normal line to the following curve at the given point:
$x^{3} + y^{3} = 8 x y$ ; $open paren 4 comma 4 close paren$