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193.6x+3.4=y
Swap sides so that all variable terms are on the left hand side.
193.6x=y-3.4
Subtract 3.4 from both sides.
\frac{193.6x}{193.6}=\frac{y-3.4}{193.6}
Divide both sides of the equation by 193.6, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y-3.4}{193.6}
Dividing by 193.6 undoes the multiplication by 193.6.
x=\frac{5y-17}{968}
Divide y-3.4 by 193.6 by multiplying y-3.4 by the reciprocal of 193.6.