Solve for y
y=\frac{x-9z-6}{6}
Solve for x
x=6y+9z+6
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6y+9z+6=x
Swap sides so that all variable terms are on the left hand side.
6y+6=x-9z
Subtract 9z from both sides.
6y=x-9z-6
Subtract 6 from both sides.
\frac{6y}{6}=\frac{x-9z-6}{6}
Divide both sides by 6.
y=\frac{x-9z-6}{6}
Dividing by 6 undoes the multiplication by 6.
y=\frac{x}{6}-\frac{3z}{2}-1
Divide x-9z-6 by 6.
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