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9x-1=106y
Swap sides so that all variable terms are on the left hand side.
9x=106y+1
Add 1 to both sides.
\frac{9x}{9}=\frac{106y+1}{9}
Divide both sides by 9.
x=\frac{106y+1}{9}
Dividing by 9 undoes the multiplication by 9.
106y=9x-1
The equation is in standard form.
\frac{106y}{106}=\frac{9x-1}{106}
Divide both sides by 106.
y=\frac{9x-1}{106}
Dividing by 106 undoes the multiplication by 106.