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2-4x=-5y
Swap sides so that all variable terms are on the left hand side.
-4x=-5y-2
Subtract 2 from both sides.
\frac{-4x}{-4}=\frac{-5y-2}{-4}
Divide both sides by -4.
x=\frac{-5y-2}{-4}
Dividing by -4 undoes the multiplication by -4.
x=\frac{5y}{4}+\frac{1}{2}
Divide -5y-2 by -4.
-5y=2-4x
The equation is in standard form.
\frac{-5y}{-5}=\frac{2-4x}{-5}
Divide both sides by -5.
y=\frac{2-4x}{-5}
Dividing by -5 undoes the multiplication by -5.
y=\frac{4x-2}{5}
Divide 2-4x by -5.