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2x+80=4y
Add 4y to both sides. Anything plus zero gives itself.
2x=4y-80
Subtract 80 from both sides.
\frac{2x}{2}=\frac{4y-80}{2}
Divide both sides by 2.
x=\frac{4y-80}{2}
Dividing by 2 undoes the multiplication by 2.
x=2y-40
Divide -80+4y by 2.
-4y+80=-2x
Subtract 2x from both sides. Anything subtracted from zero gives its negation.
-4y=-2x-80
Subtract 80 from both sides.
\frac{-4y}{-4}=\frac{-2x-80}{-4}
Divide both sides by -4.
y=\frac{-2x-80}{-4}
Dividing by -4 undoes the multiplication by -4.
y=\frac{x}{2}+20
Divide -2x-80 by -4.