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2x=8+6y
Add 6y to both sides.
2x=6y+8
The equation is in standard form.
\frac{2x}{2}=\frac{6y+8}{2}
Divide both sides by 2.
x=\frac{6y+8}{2}
Dividing by 2 undoes the multiplication by 2.
x=3y+4
Divide 8+6y by 2.
-6y=8-2x
Subtract 2x from both sides.
\frac{-6y}{-6}=\frac{8-2x}{-6}
Divide both sides by -6.
y=\frac{8-2x}{-6}
Dividing by -6 undoes the multiplication by -6.
y=\frac{x-4}{3}
Divide 8-2x by -6.