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7y=3x^{2}-7
Swap sides so that all variable terms are on the left hand side.
\frac{7y}{7}=\frac{3x^{2}-7}{7}
Divide both sides by 7.
y=\frac{3x^{2}-7}{7}
Dividing by 7 undoes the multiplication by 7.
y=\frac{3x^{2}}{7}-1
Divide 3x^{2}-7 by 7.