Given that y = \(\frac{x}{x - 3}\) + \(\frac{x}{x + 4}\), we can find the value of y when x = -2 by substituting x = -2 into the expression for y:

y = \(\frac{x}{x - 3}\) + \(\frac{x}{x + 4}\)

=> y = \(\frac{-2}{-2 - 3}\) + \(\frac{-2}{-2 + 4}\)

=> y = \(\frac{-2}{-5}\) + \(\frac{-2}{2}\)

=> y = \(\frac{2}{5}\) - 1

=> y = -\(\frac{3}{5}\)

Hence, when x = -2, the value of y is -\(\frac{3}{5}\).