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Solve for x
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Solve for y
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x+y+z=\beta -\theta
Subtract \theta from both sides.
x+z=\beta -\theta -y
Subtract y from both sides.
x=\beta -\theta -y-z
Subtract z from both sides.
\theta +y+z=\beta -x
Subtract x from both sides.
y+z=\beta -x-\theta
Subtract \theta from both sides.
y=\beta -x-\theta -z
Subtract z from both sides.