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