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