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4x=9+8y
Add 8y to both sides.
4x=8y+9
The equation is in standard form.
\frac{4x}{4}=\frac{8y+9}{4}
Divide both sides by 4.
x=\frac{8y+9}{4}
Dividing by 4 undoes the multiplication by 4.
x=2y+\frac{9}{4}
Divide 9+8y by 4.
-8y=9-4x
Subtract 4x from both sides.
\frac{-8y}{-8}=\frac{9-4x}{-8}
Divide both sides by -8.
y=\frac{9-4x}{-8}
Dividing by -8 undoes the multiplication by -8.
y=\frac{x}{2}-\frac{9}{8}
Divide 9-4x by -8.