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6x=5-10y
Subtract 10y from both sides.
\frac{6x}{6}=\frac{5-10y}{6}
Divide both sides by 6.
x=\frac{5-10y}{6}
Dividing by 6 undoes the multiplication by 6.
x=-\frac{5y}{3}+\frac{5}{6}
Divide 5-10y by 6.
10y=5-6x
Subtract 6x from both sides.
\frac{10y}{10}=\frac{5-6x}{10}
Divide both sides by 10.
y=\frac{5-6x}{10}
Dividing by 10 undoes the multiplication by 10.
y=-\frac{3x}{5}+\frac{1}{2}
Divide 5-6x by 10.