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5x+8=4y
Add 4y to both sides. Anything plus zero gives itself.
5x=4y-8
Subtract 8 from both sides.
\frac{5x}{5}=\frac{4y-8}{5}
Divide both sides by 5.
x=\frac{4y-8}{5}
Dividing by 5 undoes the multiplication by 5.
-4y+8=-5x
Subtract 5x from both sides. Anything subtracted from zero gives its negation.
-4y=-5x-8
Subtract 8 from both sides.
\frac{-4y}{-4}=\frac{-5x-8}{-4}
Divide both sides by -4.
y=\frac{-5x-8}{-4}
Dividing by -4 undoes the multiplication by -4.
y=\frac{5x}{4}+2
Divide -5x-8 by -4.