Graphs of the Other Trigonometric Functions · Medium problem

By how much is the graph of $y = -\tan\left(\dfrac{1}{3}x + \dfrac{\pi}{6}\right) + 1$ shifted horizontally compared with $y = -1\tan\left(\dfrac{1}{3}x\right) + 1$? Give the signed shift as an exact multiple of $\pi$ (positive means to the right).