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-7x=6-y
Subtract y from both sides.
\frac{-7x}{-7}=\frac{6-y}{-7}
Divide both sides by -7.
x=\frac{6-y}{-7}
Dividing by -7 undoes the multiplication by -7.
x=\frac{y-6}{7}
Divide 6-y by -7.
y=6+7x
Add 7x to both sides.