-94y(y-60)=y+27

Solution for -94y(y-60)=y+27 equation:

Simplifying
-94y(y + -60) = y + 27

Reorder the terms:
-94y(-60 + y) = y + 27
(-60 * -94y + y * -94y) = y + 27
(5640y + -94y2) = y + 27

Reorder the terms:
5640y + -94y2 = 27 + y

Solving
5640y + -94y2 = 27 + y

Solving for variable 'y'.

Reorder the terms:
-27 + 5640y + -1y + -94y2 = 27 + y + -27 + -1y

Combine like terms: 5640y + -1y = 5639y
-27 + 5639y + -94y2 = 27 + y + -27 + -1y

Reorder the terms:
-27 + 5639y + -94y2 = 27 + -27 + y + -1y

Combine like terms: 27 + -27 = 0
-27 + 5639y + -94y2 = 0 + y + -1y
-27 + 5639y + -94y2 = y + -1y

Combine like terms: y + -1y = 0
-27 + 5639y + -94y2 = 0

Begin completing the square.  Divide all terms by
-94 the coefficient of the squared term: 

Divide each side by '-94'.
0.2872340426 + -59.9893617y + y2 = 0

Move the constant term to the right:

Add '-0.2872340426' to each side of the equation.
0.2872340426 + -59.9893617y + -0.2872340426 + y2 = 0 + -0.2872340426

Reorder the terms:
0.2872340426 + -0.2872340426 + -59.9893617y + y2 = 0 + -0.2872340426

Combine like terms: 0.2872340426 + -0.2872340426 = 0.0000000000
0.0000000000 + -59.9893617y + y2 = 0 + -0.2872340426
-59.9893617y + y2 = 0 + -0.2872340426

Combine like terms: 0 + -0.2872340426 = -0.2872340426
-59.9893617y + y2 = -0.2872340426

The y term is -59.9893617y.  Take half its coefficient (-29.99468085).
Square it (899.6808793) and add it to both sides.

Add '899.6808793' to each side of the equation.
-59.9893617y + 899.6808793 + y2 = -0.2872340426 + 899.6808793

Reorder the terms:
899.6808793 + -59.9893617y + y2 = -0.2872340426 + 899.6808793

Combine like terms: -0.2872340426 + 899.6808793 = 899.3936452574
899.6808793 + -59.9893617y + y2 = 899.3936452574

Factor a perfect square on the left side:
(y + -29.99468085)(y + -29.99468085) = 899.3936452574

Calculate the square root of the right side: 29.989892385

Break this problem into two subproblems by setting 
(y + -29.99468085) equal to 29.989892385 and -29.989892385.

Subproblem 1
y + -29.99468085 = 29.989892385

Simplifying
y + -29.99468085 = 29.989892385

Reorder the terms:
-29.99468085 + y = 29.989892385

Solving
-29.99468085 + y = 29.989892385

Solving for variable 'y'.

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

Add '29.99468085' to each side of the equation.
-29.99468085 + 29.99468085 + y = 29.989892385 + 29.99468085

Combine like terms: -29.99468085 + 29.99468085 = 0.00000000
0.00000000 + y = 29.989892385 + 29.99468085
y = 29.989892385 + 29.99468085

Combine like terms: 29.989892385 + 29.99468085 = 59.984573235
y = 59.984573235

Simplifying
y = 59.984573235

Subproblem 2
y + -29.99468085 = -29.989892385

Simplifying
y + -29.99468085 = -29.989892385

Reorder the terms:
-29.99468085 + y = -29.989892385

Solving
-29.99468085 + y = -29.989892385

Solving for variable 'y'.

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

Add '29.99468085' to each side of the equation.
-29.99468085 + 29.99468085 + y = -29.989892385 + 29.99468085

Combine like terms: -29.99468085 + 29.99468085 = 0.00000000
0.00000000 + y = -29.989892385 + 29.99468085
y = -29.989892385 + 29.99468085

Combine like terms: -29.989892385 + 29.99468085 = 0.004788465
y = 0.004788465

Simplifying
y = 0.004788465

Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {59.984573235, 0.004788465}