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0.009x+1=y
Swap sides so that all variable terms are on the left hand side.
0.009x=y-1
Subtract 1 from both sides.
\frac{0.009x}{0.009}=\frac{y-1}{0.009}
Divide both sides of the equation by 0.009, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y-1}{0.009}
Dividing by 0.009 undoes the multiplication by 0.009.
x=\frac{1000y-1000}{9}
Divide y-1 by 0.009 by multiplying y-1 by the reciprocal of 0.009.