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10x+36=y^{2}
Swap sides so that all variable terms are on the left hand side.
10x=y^{2}-36
Subtract 36 from both sides.
\frac{10x}{10}=\frac{y^{2}-36}{10}
Divide both sides by 10.
x=\frac{y^{2}-36}{10}
Dividing by 10 undoes the multiplication by 10.
x=\frac{y^{2}}{10}-\frac{18}{5}
Divide y^{2}-36 by 10.