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-2.4x+y=0
Swap sides so that all variable terms are on the left hand side.
-2.4x=-y
Subtract y from both sides. Anything subtracted from zero gives its negation.
\frac{-2.4x}{-2.4}=-\frac{y}{-2.4}
Divide both sides of the equation by -2.4, which is the same as multiplying both sides by the reciprocal of the fraction.
x=-\frac{y}{-2.4}
Dividing by -2.4 undoes the multiplication by -2.4.
x=\frac{5y}{12}
Divide -y by -2.4 by multiplying -y by the reciprocal of -2.4.
-2.4x+y=0
Swap sides so that all variable terms are on the left hand side.
y=2.4x
Add 2.4x to both sides. Anything plus zero gives itself.