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6y=5x^{2}-3
The equation is in standard form.
\frac{6y}{6}=\frac{5x^{2}-3}{6}
Divide both sides by 6.
y=\frac{5x^{2}-3}{6}
Dividing by 6 undoes the multiplication by 6.
y=\frac{5x^{2}}{6}-\frac{1}{2}
Divide 5x^{2}-3 by 6.