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3x+500=z-7y
Subtract 7y from both sides.
3x=z-7y-500
Subtract 500 from both sides.
3x=-7y+z-500
The equation is in standard form.
\frac{3x}{3}=\frac{-7y+z-500}{3}
Divide both sides by 3.
x=\frac{-7y+z-500}{3}
Dividing by 3 undoes the multiplication by 3.
7y+500=z-3x
Subtract 3x from both sides.
7y=z-3x-500
Subtract 500 from both sides.
7y=-3x+z-500
The equation is in standard form.
\frac{7y}{7}=\frac{-3x+z-500}{7}
Divide both sides by 7.
y=\frac{-3x+z-500}{7}
Dividing by 7 undoes the multiplication by 7.