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