Y/16 = |76.25| / |1 5/56|

We first convert the mixed number 1 5/56 to an improper fraction:
1 5/56 = 56/56 + 5/56 = 61/56

Now we calculate the absolute values:
|76.25| = 76.25
|61/56| = |61| / |56| = 61 / 56

Now we substitute back into the equation:
Y/16 = 76.25 / (61/56)
Y/16 = 76.25 * (56/61)
Y/16 = 4370 / 61
Y/16 = 71.64

Now we solve for Y:
Y = 16 * 71.64
Y = 1146.24

Therefore, the solution to the equation Y/16 = |76.25| / |1 5/56| is Y = 1146.24.