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y=-\frac{2}{5}x+6
Fraction \frac{-2}{5} can be rewritten as -\frac{2}{5} by extracting the negative sign.
-\frac{2}{5}x+6=y
Swap sides so that all variable terms are on the left hand side.
-\frac{2}{5}x=y-6
Subtract 6 from both sides.
\frac{-\frac{2}{5}x}{-\frac{2}{5}}=\frac{y-6}{-\frac{2}{5}}
Divide both sides of the equation by -\frac{2}{5}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y-6}{-\frac{2}{5}}
Dividing by -\frac{2}{5} undoes the multiplication by -\frac{2}{5}.
x=-\frac{5y}{2}+15
Divide y-6 by -\frac{2}{5} by multiplying y-6 by the reciprocal of -\frac{2}{5}.
y=-\frac{2}{5}x+6
Fraction \frac{-2}{5} can be rewritten as -\frac{2}{5} by extracting the negative sign.