2,4 + (2 1/3 - 1/6) - (3,8 - 4,2) = -3,1 + (-2,8 - 4,1) - (2 1/3 - 5/6)

Step 1: Simplify both sides of the equation.

Left side: 2.4 + (4/3 - 1/6) - (-0.4) = 2.4 + (8/6 - 1/6) + 0.4 = 2.4 + 7/6 + 0.4 = 2.8 + 7/6 = 2.8 + 1.166... = 3.966...

Right side: -3.1 + (-6.9) - (7/3 - 5/6) = -10 - (14/6 - 5/6) = -10 - 9/6 = -10 - 1.5 = -11.5

Step 2: Since the simplified sides are not equal, the original statement is false.