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-6y\leq -19+31
Add 31 to both sides.
-6y\leq 12
Add -19 and 31 to get 12.
y\geq \frac{12}{-6}
Divide both sides by -6. Since -6 is negative, the inequality direction is changed.
y\geq -2
Divide 12 by -6 to get -2.