Because a negative number squared gives you a positive result, y could be 3 or - 3. Plugging either value into the equation in place of the y will give you the proper solution.
For what values of y is |y| ≤ 1?
This problem is asking what numbers are within 1 of zero in either direction on the number line. Remember, those vertical lines surrounding a number are asking for its absolute value. When you have got a number surrounded, it will pretty much tell you anything you want to know. In this case, y can be any real number between - 1 and 1. In symbols, the answer to this problem is - 1 ≤ y ≤ 1.