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x+z=6-5y
Subtract 5y from both sides.
x=6-5y-z
Subtract z from both sides.
5y+z=6-x
Subtract x from both sides.
5y=6-x-z
Subtract z from both sides.
5y=6-z-x
The equation is in standard form.
\frac{5y}{5}=\frac{6-z-x}{5}
Divide both sides by 5.
y=\frac{6-z-x}{5}
Dividing by 5 undoes the multiplication by 5.