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-2.1x=-3y
Subtract 3y from both sides. Anything subtracted from zero gives its negation.
\frac{-2.1x}{-2.1}=-\frac{3y}{-2.1}
Divide both sides of the equation by -2.1, which is the same as multiplying both sides by the reciprocal of the fraction.
x=-\frac{3y}{-2.1}
Dividing by -2.1 undoes the multiplication by -2.1.
x=\frac{10y}{7}
Divide -3y by -2.1 by multiplying -3y by the reciprocal of -2.1.
3y=2.1x
Add 2.1x to both sides. Anything plus zero gives itself.
3y=\frac{21x}{10}
The equation is in standard form.
\frac{3y}{3}=\frac{21x}{3\times 10}
Divide both sides by 3.
y=\frac{21x}{3\times 10}
Dividing by 3 undoes the multiplication by 3.
y=\frac{7x}{10}
Divide \frac{21x}{10} by 3.