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x-4z=-7-3y
Subtract 3y from both sides.
x=-7-3y+4z
Add 4z to both sides.
3y-4z=-7-x
Subtract x from both sides.
3y=-7-x+4z
Add 4z to both sides.
3y=-x+4z-7
The equation is in standard form.
\frac{3y}{3}=\frac{-x+4z-7}{3}
Divide both sides by 3.
y=\frac{-x+4z-7}{3}
Dividing by 3 undoes the multiplication by 3.