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6000x=2y
Add 2y to both sides. Anything plus zero gives itself.
\frac{6000x}{6000}=\frac{2y}{6000}
Divide both sides by 6000.
x=\frac{2y}{6000}
Dividing by 6000 undoes the multiplication by 6000.
x=\frac{y}{3000}
Divide 2y by 6000.
-2y=-6000x
Subtract 6000x from both sides. Anything subtracted from zero gives its negation.
\frac{-2y}{-2}=-\frac{6000x}{-2}
Divide both sides by -2.
y=-\frac{6000x}{-2}
Dividing by -2 undoes the multiplication by -2.
y=3000x
Divide -6000x by -2.