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0.9x+10=y
Swap sides so that all variable terms are on the left hand side.
0.9x=y-10
Subtract 10 from both sides.
\frac{0.9x}{0.9}=\frac{y-10}{0.9}
Divide both sides of the equation by 0.9, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y-10}{0.9}
Dividing by 0.9 undoes the multiplication by 0.9.
x=\frac{10y-100}{9}
Divide y-10 by 0.9 by multiplying y-10 by the reciprocal of 0.9.