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6x=55-23y
Subtract 23y from both sides.
\frac{6x}{6}=\frac{55-23y}{6}
Divide both sides by 6.
x=\frac{55-23y}{6}
Dividing by 6 undoes the multiplication by 6.
23y=55-6x
Subtract 6x from both sides.
\frac{23y}{23}=\frac{55-6x}{23}
Divide both sides by 23.
y=\frac{55-6x}{23}
Dividing by 23 undoes the multiplication by 23.