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6x=66y-2z
Subtract 2z from both sides.
\frac{6x}{6}=\frac{66y-2z}{6}
Divide both sides by 6.
x=\frac{66y-2z}{6}
Dividing by 6 undoes the multiplication by 6.
x=-\frac{z}{3}+11y
Divide 66y-2z by 6.
66y=6x+2z
Swap sides so that all variable terms are on the left hand side.
\frac{66y}{66}=\frac{6x+2z}{66}
Divide both sides by 66.
y=\frac{6x+2z}{66}
Dividing by 66 undoes the multiplication by 66.
y=\frac{x}{11}+\frac{z}{33}
Divide 6x+2z by 66.