Write out the inequality.
5 + y ≤ -5y
Subtract both sides by y to get 5 by itself.
5 + y - y ≤ -5y - y
Combine like terms. The y in the left side cancels out.
5 ≤ -6y
Divide both sides by -6 to get y by itself. Remember you're dividing by a negative number so the sign will have to change.
-0.83 repeating is greater than or equal to y.
So, y needs to be less than or equal to -0.83.
So, the only valid answer here would be -10.