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6x=10y
Combine 9x and -3x to get 6x.
\frac{6x}{6}=\frac{10y}{6}
Divide both sides by 6.
x=\frac{10y}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{5y}{3}
Divide 10y by 6.
6x=10y
Combine 9x and -3x to get 6x.
10y=6x
Swap sides so that all variable terms are on the left hand side.
\frac{10y}{10}=\frac{6x}{10}
Divide both sides by 10.
y=\frac{6x}{10}
Dividing by 10 undoes the multiplication by 10.
y=\frac{3x}{5}
Divide 6x by 10.