Let's simplify the equation step by step:

6.4(2-3y) = 6(1-3.2) + 6

First, simplify the expression within the parentheses:

6.4(2-3y) = 6(1-3.2) + 6
6.4(2-3y) = 6(-2.2) + 6

Next, multiply the numbers:

6.4(2-3y) = 6(-2.2) + 6
12.8 - 19.2y = -13.2 + 6

Now, simplify the equation further:

12.8 - 19.2y = -13.2 + 6
12.8 - 19.2y = -7.2

To isolate y, we can solve for y by adding 19.2y to both sides:

12.8 - 19.2y + 19.2y = -7.2 + 19.2y
12.8 = 12 + 19.2y

Next, subtract 12 from both sides to solve for y:

12.8 - 12 = 12 + 19.2y - 12
0.8 = 19.2y

Finally, divide both sides by 19.2 to get the value of y:

0.8 / 19.2 = 19.2y / 19.2
y ≈ 0.0417

Therefore, the solution to the equation is y ≈ 0.0417.