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5x+30=-6y
Subtract 6y from both sides. Anything subtracted from zero gives its negation.
5x=-6y-30
Subtract 30 from both sides.
\frac{5x}{5}=\frac{-6y-30}{5}
Divide both sides by 5.
x=\frac{-6y-30}{5}
Dividing by 5 undoes the multiplication by 5.
x=-\frac{6y}{5}-6
Divide -6y-30 by 5.
6y+30=-5x
Subtract 5x from both sides. Anything subtracted from zero gives its negation.
6y=-5x-30
Subtract 30 from both sides.
\frac{6y}{6}=\frac{-5x-30}{6}
Divide both sides by 6.
y=\frac{-5x-30}{6}
Dividing by 6 undoes the multiplication by 6.
y=-\frac{5x}{6}-5
Divide -5x-30 by 6.