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9.6x-512=y
Swap sides so that all variable terms are on the left hand side.
9.6x=y+512
Add 512 to both sides.
\frac{9.6x}{9.6}=\frac{y+512}{9.6}
Divide both sides of the equation by 9.6, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y+512}{9.6}
Dividing by 9.6 undoes the multiplication by 9.6.
x=\frac{5y}{48}+\frac{160}{3}
Divide y+512 by 9.6 by multiplying y+512 by the reciprocal of 9.6.