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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
Add 4y to both sides.