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x+4z=259-3y
Subtract 3y from both sides.
x=259-3y-4z
Subtract 4z from both sides.
3y+4z=259-x
Subtract x from both sides.
3y=259-x-4z
Subtract 4z from both sides.
3y=259-4z-x
The equation is in standard form.
\frac{3y}{3}=\frac{259-4z-x}{3}
Divide both sides by 3.
y=\frac{259-4z-x}{3}
Dividing by 3 undoes the multiplication by 3.