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5x=-7y
Subtract 7y from both sides. Anything subtracted from zero gives its negation.
\frac{5x}{5}=-\frac{7y}{5}
Divide both sides by 5.
x=-\frac{7y}{5}
Dividing by 5 undoes the multiplication by 5.
7y=-5x
Subtract 5x from both sides. Anything subtracted from zero gives its negation.
\frac{7y}{7}=-\frac{5x}{7}
Divide both sides by 7.
y=-\frac{5x}{7}
Dividing by 7 undoes the multiplication by 7.