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8x=5y+15
The equation is in standard form.
\frac{8x}{8}=\frac{5y+15}{8}
Divide both sides by 8.
x=\frac{5y+15}{8}
Dividing by 8 undoes the multiplication by 8.
5y+15=8x
Swap sides so that all variable terms are on the left hand side.
5y=8x-15
Subtract 15 from both sides.
\frac{5y}{5}=\frac{8x-15}{5}
Divide both sides by 5.
y=\frac{8x-15}{5}
Dividing by 5 undoes the multiplication by 5.
y=\frac{8x}{5}-3
Divide 8x-15 by 5.