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4x-6z=-19-3y
Subtract 3y from both sides.
4x=-19-3y+6z
Add 6z to both sides.
4x=-3y+6z-19
The equation is in standard form.
\frac{4x}{4}=\frac{-3y+6z-19}{4}
Divide both sides by 4.
x=\frac{-3y+6z-19}{4}
Dividing by 4 undoes the multiplication by 4.
x=\frac{3z}{2}-\frac{3y}{4}-\frac{19}{4}
Divide -19-3y+6z by 4.
3y-6z=-19-4x
Subtract 4x from both sides.
3y=-19-4x+6z
Add 6z to both sides.
3y=-4x+6z-19
The equation is in standard form.
\frac{3y}{3}=\frac{-4x+6z-19}{3}
Divide both sides by 3.
y=\frac{-4x+6z-19}{3}
Dividing by 3 undoes the multiplication by 3.
y=-\frac{4x}{3}+2z-\frac{19}{3}
Divide -19-4x+6z by 3.