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16xy+8=84-24x^{2}
Subtract 24x^{2} from both sides.
16xy=84-24x^{2}-8
Subtract 8 from both sides.
16xy=76-24x^{2}
Subtract 8 from 84 to get 76.
\frac{16xy}{16x}=\frac{76-24x^{2}}{16x}
Divide both sides by 16x.
y=\frac{76-24x^{2}}{16x}
Dividing by 16x undoes the multiplication by 16x.
y=-\frac{3x}{2}+\frac{19}{4x}
Divide 76-24x^{2} by 16x.