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5y=175-x
Subtract x from both sides.
\frac{5y}{5}=\frac{175-x}{5}
Divide both sides by 5.
y=\frac{175-x}{5}
Dividing by 5 undoes the multiplication by 5.
y=-\frac{x}{5}+35
Divide 175-x by 5.
x=175-5y
Subtract 5y from both sides.