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6x-4=-3y
Swap sides so that all variable terms are on the left hand side.
6x=-3y+4
Add 4 to both sides.
6x=4-3y
The equation is in standard form.
\frac{6x}{6}=\frac{4-3y}{6}
Divide both sides by 6.
x=\frac{4-3y}{6}
Dividing by 6 undoes the multiplication by 6.
x=-\frac{y}{2}+\frac{2}{3}
Divide -3y+4 by 6.
-3y=6x-4
The equation is in standard form.
\frac{-3y}{-3}=\frac{6x-4}{-3}
Divide both sides by -3.
y=\frac{6x-4}{-3}
Dividing by -3 undoes the multiplication by -3.
y=\frac{4}{3}-2x
Divide 6x-4 by -3.