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10x=35-5y
Subtract 5y from both sides.
\frac{10x}{10}=\frac{35-5y}{10}
Divide both sides by 10.
x=\frac{35-5y}{10}
Dividing by 10 undoes the multiplication by 10.
x=\frac{7-y}{2}
Divide 35-5y by 10.
5y=35-10x
Subtract 10x from both sides.
\frac{5y}{5}=\frac{35-10x}{5}
Divide both sides by 5.
y=\frac{35-10x}{5}
Dividing by 5 undoes the multiplication by 5.
y=7-2x
Divide 35-10x by 5.