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4x^{2}-\frac{2}{3}y-6xy+\frac{2}{3}xy
Reduce the fraction \frac{12}{18} to lowest terms by extracting and canceling out 6.
4x^{2}-\frac{2}{3}y-\frac{16}{3}xy
Combine -6xy and \frac{2}{3}xy to get -\frac{16}{3}xy.
\frac{2\left(6x^{2}-y-9xy+xy\right)}{3}
Factor out \frac{2}{3}.