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