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5x=10-12y
Subtract 12y from both sides.
\frac{5x}{5}=\frac{10-12y}{5}
Divide both sides by 5.
x=\frac{10-12y}{5}
Dividing by 5 undoes the multiplication by 5.
x=-\frac{12y}{5}+2
Divide 10-12y by 5.
12y=10-5x
Subtract 5x from both sides.
\frac{12y}{12}=\frac{10-5x}{12}
Divide both sides by 12.
y=\frac{10-5x}{12}
Dividing by 12 undoes the multiplication by 12.
y=-\frac{5x}{12}+\frac{5}{6}
Divide 10-5x by 12.