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4x+15=8y
Add 8y to both sides. Anything plus zero gives itself.
4x=8y-15
Subtract 15 from both sides.
\frac{4x}{4}=\frac{8y-15}{4}
Divide both sides by 4.
x=\frac{8y-15}{4}
Dividing by 4 undoes the multiplication by 4.
x=2y-\frac{15}{4}
Divide 8y-15 by 4.
-8y+15=-4x
Subtract 4x from both sides. Anything subtracted from zero gives its negation.
-8y=-4x-15
Subtract 15 from both sides.
\frac{-8y}{-8}=\frac{-4x-15}{-8}
Divide both sides by -8.
y=\frac{-4x-15}{-8}
Dividing by -8 undoes the multiplication by -8.
y=\frac{x}{2}+\frac{15}{8}
Divide -4x-15 by -8.