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0.9x+2.5=y
Swap sides so that all variable terms are on the left hand side.
0.9x=y-2.5
Subtract 2.5 from both sides.
\frac{0.9x}{0.9}=\frac{y-2.5}{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-2.5}{0.9}
Dividing by 0.9 undoes the multiplication by 0.9.
x=\frac{10y-25}{9}
Divide y-2.5 by 0.9 by multiplying y-2.5 by the reciprocal of 0.9.