16=(6y+2)-(y-5)(-2y+16)

Solution for 16=(6y+2)-(y-5)(-2y+16) equation:

Simplifying
16 = (6y + 2) + -1(y + -5)(-2y + 16)

Reorder the terms:
16 = (2 + 6y) + -1(y + -5)(-2y + 16)

Remove parenthesis around (2 + 6y)
16 = 2 + 6y + -1(y + -5)(-2y + 16)

Reorder the terms:
16 = 2 + 6y + -1(-5 + y)(-2y + 16)

Reorder the terms:
16 = 2 + 6y + -1(-5 + y)(16 + -2y)

Multiply (-5 + y) * (16 + -2y)
16 = 2 + 6y + -1(-5(16 + -2y) + y(16 + -2y))
16 = 2 + 6y + -1((16 * -5 + -2y * -5) + y(16 + -2y))
16 = 2 + 6y + -1((-80 + 10y) + y(16 + -2y))
16 = 2 + 6y + -1(-80 + 10y + (16 * y + -2y * y))
16 = 2 + 6y + -1(-80 + 10y + (16y + -2y2))

Combine like terms: 10y + 16y = 26y
16 = 2 + 6y + -1(-80 + 26y + -2y2)
16 = 2 + 6y + (-80 * -1 + 26y * -1 + -2y2 * -1)
16 = 2 + 6y + (80 + -26y + 2y2)

Reorder the terms:
16 = 2 + 80 + 6y + -26y + 2y2

Combine like terms: 2 + 80 = 82
16 = 82 + 6y + -26y + 2y2

Combine like terms: 6y + -26y = -20y
16 = 82 + -20y + 2y2

Solving
16 = 82 + -20y + 2y2

Solving for variable 'y'.

Combine like terms: 16 + -82 = -66
-66 + 20y + -2y2 = 82 + -20y + 2y2 + -82 + 20y + -2y2

Reorder the terms:
-66 + 20y + -2y2 = 82 + -82 + -20y + 20y + 2y2 + -2y2

Combine like terms: 82 + -82 = 0
-66 + 20y + -2y2 = 0 + -20y + 20y + 2y2 + -2y2
-66 + 20y + -2y2 = -20y + 20y + 2y2 + -2y2

Combine like terms: -20y + 20y = 0
-66 + 20y + -2y2 = 0 + 2y2 + -2y2
-66 + 20y + -2y2 = 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
-66 + 20y + -2y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-33 + 10y + -1y2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-33 + 10y + -1y2)' equal to zero and attempt to solve:

Simplifying
-33 + 10y + -1y2 = 0

Solving
-33 + 10y + -1y2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
33 + -10y + y2 = 0

Move the constant term to the right:

Add '-33' to each side of the equation.
33 + -10y + -33 + y2 = 0 + -33

Reorder the terms:
33 + -33 + -10y + y2 = 0 + -33

Combine like terms: 33 + -33 = 0
0 + -10y + y2 = 0 + -33
-10y + y2 = 0 + -33

Combine like terms: 0 + -33 = -33
-10y + y2 = -33

The y term is -10y.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10y + 25 + y2 = -33 + 25

Reorder the terms:
25 + -10y + y2 = -33 + 25

Combine like terms: -33 + 25 = -8
25 + -10y + y2 = -8

Factor a perfect square on the left side:
(y + -5)(y + -5) = -8

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.