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x+9y-3z=0
Swap sides so that all variable terms are on the left hand side.
x-3z=-9y
Subtract 9y from both sides. Anything subtracted from zero gives its negation.
x=-9y+3z
Add 3z to both sides.
x+9y-3z=0
Swap sides so that all variable terms are on the left hand side.
9y-3z=-x
Subtract x from both sides. Anything subtracted from zero gives its negation.
9y=-x+3z
Add 3z to both sides.
9y=3z-x
The equation is in standard form.
\frac{9y}{9}=\frac{3z-x}{9}
Divide both sides by 9.
y=\frac{3z-x}{9}
Dividing by 9 undoes the multiplication by 9.
y=\frac{z}{3}-\frac{x}{9}
Divide -x+3z by 9.