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-39y=55-x_{2}
Subtract x_{2} from both sides.
\frac{-39y}{-39}=\frac{55-x_{2}}{-39}
Divide both sides by -39.
y=\frac{55-x_{2}}{-39}
Dividing by -39 undoes the multiplication by -39.
y=\frac{x_{2}-55}{39}
Divide 55-x_{2} by -39.
x_{2}=55+39y
Add 39y to both sides.