First, let's simplify the expression step by step:

1.4 - (0.7 - 3.2) = 1.4 - (-2.5) = 1.4 + 2.5 = 3.9

Next, let's simplify the second part of the expression:

1 1/3 - 2 1/4 = (4/3) - (9/4)
= (16/12) - (27/12)
= (16 - 27 ) / 12
= -11 / 12

Now, let's multiply 6 by -11/12:

6 * (-11/12) = -66 / 12 = -5.5

Finally, let's add the results of the two parts of the expression:

3.9 + (-5.5) = -1.6

Therefore, the simplified expression is -1.6.