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-\frac{7}{4}x-4=y
Swap sides so that all variable terms are on the left hand side.
-\frac{7}{4}x=y+4
Add 4 to both sides.
\frac{-\frac{7}{4}x}{-\frac{7}{4}}=\frac{y+4}{-\frac{7}{4}}
Divide both sides of the equation by -\frac{7}{4}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y+4}{-\frac{7}{4}}
Dividing by -\frac{7}{4} undoes the multiplication by -\frac{7}{4}.
x=\frac{-4y-16}{7}
Divide y+4 by -\frac{7}{4} by multiplying y+4 by the reciprocal of -\frac{7}{4}.