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8x=2y+9
The equation is in standard form.
\frac{8x}{8}=\frac{2y+9}{8}
Divide both sides by 8.
x=\frac{2y+9}{8}
Dividing by 8 undoes the multiplication by 8.
x=\frac{y}{4}+\frac{9}{8}
Divide 2y+9 by 8.
2y+9=8x
Swap sides so that all variable terms are on the left hand side.
2y=8x-9
Subtract 9 from both sides.
\frac{2y}{2}=\frac{8x-9}{2}
Divide both sides by 2.
y=\frac{8x-9}{2}
Dividing by 2 undoes the multiplication by 2.
y=4x-\frac{9}{2}
Divide 8x-9 by 2.