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x+5z=25+2y
Add 2y to both sides.
x=25+2y-5z
Subtract 5z from both sides.
-2y+5z=25-x
Subtract x from both sides.
-2y=25-x-5z
Subtract 5z from both sides.
-2y=25-5z-x
The equation is in standard form.
\frac{-2y}{-2}=\frac{25-5z-x}{-2}
Divide both sides by -2.
y=\frac{25-5z-x}{-2}
Dividing by -2 undoes the multiplication by -2.
y=\frac{x+5z-25}{2}
Divide 25-x-5z by -2.