Final answer:
The possible values for the expression 2y - |x + z| depend on the values of x, y, and z. The expression can be any real number when the value inside the absolute value is positive or zero, or when it is negative.
Step-by-step explanation:
The given expression is 2y - |x + z|. The possible values for this expression depend on the values of x, y, and z. Let's consider two cases: Case 1: If the value inside the absolute value, x + z, is positive or zero, the expression becomes 2y - (x + z). In this case, the value of the expression can be any real number. Case 2: If the value inside the absolute value, x + z, is negative, the expression becomes 2y - (-x - z), which simplifies to 2y + x + z. In this case, the value of the expression can also be any real number.