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3x=10-9y
Subtract 9y from both sides.
\frac{3x}{3}=\frac{10-9y}{3}
Divide both sides by 3.
x=\frac{10-9y}{3}
Dividing by 3 undoes the multiplication by 3.
x=\frac{10}{3}-3y
Divide 10-9y by 3.
9y=10-3x
Subtract 3x from both sides.
\frac{9y}{9}=\frac{10-3x}{9}
Divide both sides by 9.
y=\frac{10-3x}{9}
Dividing by 9 undoes the multiplication by 9.
y=-\frac{x}{3}+\frac{10}{9}
Divide 10-3x by 9.