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