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4x+19z=6-6y
Subtract 6y from both sides.
4x=6-6y-19z
Subtract 19z from both sides.
4x=6-19z-6y
The equation is in standard form.
\frac{4x}{4}=\frac{6-19z-6y}{4}
Divide both sides by 4.
x=\frac{6-19z-6y}{4}
Dividing by 4 undoes the multiplication by 4.
x=-\frac{3y}{2}-\frac{19z}{4}+\frac{3}{2}
Divide 6-6y-19z by 4.
6y+19z=6-4x
Subtract 4x from both sides.
6y=6-4x-19z
Subtract 19z from both sides.
6y=6-19z-4x
The equation is in standard form.
\frac{6y}{6}=\frac{6-19z-4x}{6}
Divide both sides by 6.
y=\frac{6-19z-4x}{6}
Dividing by 6 undoes the multiplication by 6.
y=-\frac{2x}{3}-\frac{19z}{6}+1
Divide 6-4x-19z by 6.