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-2x=5-4y
Subtract 4y from both sides.
\frac{-2x}{-2}=\frac{5-4y}{-2}
Divide both sides by -2.
x=\frac{5-4y}{-2}
Dividing by -2 undoes the multiplication by -2.
x=2y-\frac{5}{2}
Divide 5-4y by -2.
4y=5+2x
Add 2x to both sides.
4y=2x+5
The equation is in standard form.
\frac{4y}{4}=\frac{2x+5}{4}
Divide both sides by 4.
y=\frac{2x+5}{4}
Dividing by 4 undoes the multiplication by 4.
y=\frac{x}{2}+\frac{5}{4}
Divide 5+2x by 4.