$$6 { x }^{ 2 } -3(x-4)-3y(x+4)$$
$3\left(-y\left(x+4\right)+2x^{2}-x+4\right)$
$$6x^{2}-3x+12-3y\left(x+4\right)$$
$$6x^{2}-3x+12-3yx-12y$$
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$6x^{2}-3xy-3x-12y+12$