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-\frac{2}{7}x+4=y
Swap sides so that all variable terms are on the left hand side.
-\frac{2}{7}x=y-4
Subtract 4 from both sides.
\frac{-\frac{2}{7}x}{-\frac{2}{7}}=\frac{y-4}{-\frac{2}{7}}
Divide both sides of the equation by -\frac{2}{7}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y-4}{-\frac{2}{7}}
Dividing by -\frac{2}{7} undoes the multiplication by -\frac{2}{7}.
x=-\frac{7y}{2}+14
Divide y-4 by -\frac{2}{7} by multiplying y-4 by the reciprocal of -\frac{2}{7}.