(y)1690.91(1-0.16-y)368.735*0.16*908.5=561.64

Solution for (y)1690.91(1-0.16-y)368.735*0.16*908.5=561.64 equation:

Simplifying
(y) * 1690.91(1 + -0.16 + -1y) * 368.735 * 0.16 * 908.5 = 561.64

Combine like terms: 1 + -0.16 = 0.84
y * 1690.91(0.84 + -1y) * 368.735 * 0.16 * 908.5 = 561.64

Reorder the terms for easier multiplication:
1690.91 * 368.735 * 0.16 * 908.5y(0.84 + -1y) = 561.64

Multiply 1690.91 * 368.735
623497.6989 * 0.16 * 908.5y(0.84 + -1y) = 561.64

Multiply 623497.6989 * 0.16
99759.63182 * 908.5y(0.84 + -1y) = 561.64

Multiply 99759.63182 * 908.5
90631625.51y(0.84 + -1y) = 561.64
(0.84 * 90631625.51y + -1y * 90631625.51y) = 561.64
(76130565.43y + -90631625.51y2) = 561.64

Solving
76130565.43y + -90631625.51y2 = 561.64

Solving for variable 'y'.

Reorder the terms:
-561.64 + 76130565.43y + -90631625.51y2 = 561.64 + -561.64

Combine like terms: 561.64 + -561.64 = 0.00
-561.64 + 76130565.43y + -90631625.51y2 = 0.00

Begin completing the square.  Divide all terms by
-90631625.51 the coefficient of the squared term: 

Divide each side by '-90631625.51'.
0.000006196953843 + -0.84y + y2 = 0

Move the constant term to the right:

Add '-0.000006196953843' to each side of the equation.
0.000006196953843 + -0.84y + -0.000006196953843 + y2 = 0 + -0.000006196953843

Reorder the terms:
0.000006196953843 + -0.000006196953843 + -0.84y + y2 = 0 + -0.000006196953843

Combine like terms: 0.000006196953843 + -0.000006196953843 = 0.000000000000000
0.000000000000000 + -0.84y + y2 = 0 + -0.000006196953843
-0.84y + y2 = 0 + -0.000006196953843

Combine like terms: 0 + -0.000006196953843 = -0.000006196953843
-0.84y + y2 = -0.000006196953843

The y term is -0.84y.  Take half its coefficient (-0.42).
Square it (0.1764) and add it to both sides.

Add '0.1764' to each side of the equation.
-0.84y + 0.1764 + y2 = -0.000006196953843 + 0.1764

Reorder the terms:
0.1764 + -0.84y + y2 = -0.000006196953843 + 0.1764

Combine like terms: -0.000006196953843 + 0.1764 = 0.176393803046157
0.1764 + -0.84y + y2 = 0.176393803046157

Factor a perfect square on the left side:
(y + -0.42)(y + -0.42) = 0.176393803046157

Calculate the square root of the right side: 0.419992623

Break this problem into two subproblems by setting 
(y + -0.42) equal to 0.419992623 and -0.419992623.

Subproblem 1
y + -0.42 = 0.419992623

Simplifying
y + -0.42 = 0.419992623

Reorder the terms:
-0.42 + y = 0.419992623

Solving
-0.42 + y = 0.419992623

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '0.42' to each side of the equation.
-0.42 + 0.42 + y = 0.419992623 + 0.42

Combine like terms: -0.42 + 0.42 = 0.00
0.00 + y = 0.419992623 + 0.42
y = 0.419992623 + 0.42

Combine like terms: 0.419992623 + 0.42 = 0.839992623
y = 0.839992623

Simplifying
y = 0.839992623

Subproblem 2
y + -0.42 = -0.419992623

Simplifying
y + -0.42 = -0.419992623

Reorder the terms:
-0.42 + y = -0.419992623

Solving
-0.42 + y = -0.419992623

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '0.42' to each side of the equation.
-0.42 + 0.42 + y = -0.419992623 + 0.42

Combine like terms: -0.42 + 0.42 = 0.00
0.00 + y = -0.419992623 + 0.42
y = -0.419992623 + 0.42

Combine like terms: -0.419992623 + 0.42 = 0.000007377
y = 0.000007377

Simplifying
y = 0.000007377

Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {0.839992623, 0.000007377}