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-6x=5y-8
The equation is in standard form.
\frac{-6x}{-6}=\frac{5y-8}{-6}
Divide both sides by -6.
x=\frac{5y-8}{-6}
Dividing by -6 undoes the multiplication by -6.
x=-\frac{5y}{6}+\frac{4}{3}
Divide 5y-8 by -6.
5y-8=-6x
Swap sides so that all variable terms are on the left hand side.
5y=-6x+8
Add 8 to both sides.
5y=8-6x
The equation is in standard form.
\frac{5y}{5}=\frac{8-6x}{5}
Divide both sides by 5.
y=\frac{8-6x}{5}
Dividing by 5 undoes the multiplication by 5.