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