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12x+7=-2y
Subtract 2y from both sides. Anything subtracted from zero gives its negation.
12x=-2y-7
Subtract 7 from both sides.
\frac{12x}{12}=\frac{-2y-7}{12}
Divide both sides by 12.
x=\frac{-2y-7}{12}
Dividing by 12 undoes the multiplication by 12.
x=-\frac{y}{6}-\frac{7}{12}
Divide -2y-7 by 12.
2y+7=-12x
Subtract 12x from both sides. Anything subtracted from zero gives its negation.
2y=-12x-7
Subtract 7 from both sides.
\frac{2y}{2}=\frac{-12x-7}{2}
Divide both sides by 2.
y=\frac{-12x-7}{2}
Dividing by 2 undoes the multiplication by 2.
y=-6x-\frac{7}{2}
Divide -12x-7 by 2.