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The coordinates of the new vertices A'B'C' can be found by adding 8 to the y-coordinates of the original vertices A, B, and C:
A': (-6, -2 + 8) = (-6, 6)
B': (2, -7 + 8) = (2, 1)
C': (2, -2 + 8) = (2, 6)
Therefore, the coordinates of the vertices of the new triangle A'B'C' are (-6, 6), (2, 1), and (2, 6).