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4x=6-3y
Subtract 3y from both sides.
\frac{4x}{4}=\frac{6-3y}{4}
Divide both sides by 4.
x=\frac{6-3y}{4}
Dividing by 4 undoes the multiplication by 4.
x=-\frac{3y}{4}+\frac{3}{2}
Divide 6-3y by 4.
3y=6-4x
Subtract 4x from both sides.
\frac{3y}{3}=\frac{6-4x}{3}
Divide both sides by 3.
y=\frac{6-4x}{3}
Dividing by 3 undoes the multiplication by 3.
y=-\frac{4x}{3}+2
Divide 6-4x by 3.