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10x=156-7y
Subtract 7y from both sides.
\frac{10x}{10}=\frac{156-7y}{10}
Divide both sides by 10.
x=\frac{156-7y}{10}
Dividing by 10 undoes the multiplication by 10.
x=-\frac{7y}{10}+\frac{78}{5}
Divide 156-7y by 10.
7y=156-10x
Subtract 10x from both sides.
\frac{7y}{7}=\frac{156-10x}{7}
Divide both sides by 7.
y=\frac{156-10x}{7}
Dividing by 7 undoes the multiplication by 7.