To find the sum of these two vectors, we add their corresponding components:

(-4,3) + (27,1) = (-4+27, 3+1) = (23,4)

Next, we subtract the second vector from the first vector:

(23,4) - (-1,7) = (23-(-1), 4-7) = (24, -3)

Therefore, the result of the expression is (24, -3).