FERMAT 2021 Problem 19

The real numbers x, y and z satisfy the three equations

\begin{aligned} x+y & =7 \\ x z & =-180 \\ (x+y+z)^2 & =4 \end{aligned}

If S is the sum of the two possible values of y, then -S equals

Answer Choices
A. 56
B. 14
C. 36
D. 34
E. 42