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3x+3z=-21+6y
Add 6y to both sides.
3x=-21+6y-3z
Subtract 3z from both sides.
3x=6y-3z-21
The equation is in standard form.
\frac{3x}{3}=\frac{6y-3z-21}{3}
Divide both sides by 3.
x=\frac{6y-3z-21}{3}
Dividing by 3 undoes the multiplication by 3.
x=2y-z-7
Divide -21+6y-3z by 3.
-6y+3z=-21-3x
Subtract 3x from both sides.
-6y=-21-3x-3z
Subtract 3z from both sides.
-6y=-3x-3z-21
The equation is in standard form.
\frac{-6y}{-6}=\frac{-3x-3z-21}{-6}
Divide both sides by -6.
y=\frac{-3x-3z-21}{-6}
Dividing by -6 undoes the multiplication by -6.
y=\frac{x+z+7}{2}
Divide -21-3x-3z by -6.