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2yz^{2}=x
Multiply both sides of the equation by z^{2}.
x=2yz^{2}
Swap sides so that all variable terms are on the left hand side.
2yz^{2}=x
Multiply both sides of the equation by z^{2}.
2z^{2}y=x
The equation is in standard form.
\frac{2z^{2}y}{2z^{2}}=\frac{x}{2z^{2}}
Divide both sides by 2z^{2}.
y=\frac{x}{2z^{2}}
Dividing by 2z^{2} undoes the multiplication by 2z^{2}.