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12x=-10y
Subtract 10y from both sides. Anything subtracted from zero gives its negation.
\frac{12x}{12}=-\frac{10y}{12}
Divide both sides by 12.
x=-\frac{10y}{12}
Dividing by 12 undoes the multiplication by 12.
x=-\frac{5y}{6}
Divide -10y by 12.
10y=-12x
Subtract 12x from both sides. Anything subtracted from zero gives its negation.
\frac{10y}{10}=-\frac{12x}{10}
Divide both sides by 10.
y=-\frac{12x}{10}
Dividing by 10 undoes the multiplication by 10.
y=-\frac{6x}{5}
Divide -12x by 10.