-2y-17-22=2y+3y(y-6)

Solution for -2y-17-22=2y+3y(y-6) equation:

Simplifying
-2y + -17 + -22 = 2y + 3y(y + -6)

Reorder the terms:
-17 + -22 + -2y = 2y + 3y(y + -6)

Combine like terms: -17 + -22 = -39
-39 + -2y = 2y + 3y(y + -6)

Reorder the terms:
-39 + -2y = 2y + 3y(-6 + y)
-39 + -2y = 2y + (-6 * 3y + y * 3y)
-39 + -2y = 2y + (-18y + 3y2)

Combine like terms: 2y + -18y = -16y
-39 + -2y = -16y + 3y2

Solving
-39 + -2y = -16y + 3y2

Solving for variable 'y'.

Combine like terms: -2y + 16y = 14y
-39 + 14y + -3y2 = -16y + 3y2 + 16y + -3y2

Reorder the terms:
-39 + 14y + -3y2 = -16y + 16y + 3y2 + -3y2

Combine like terms: -16y + 16y = 0
-39 + 14y + -3y2 = 0 + 3y2 + -3y2
-39 + 14y + -3y2 = 3y2 + -3y2

Combine like terms: 3y2 + -3y2 = 0
-39 + 14y + -3y2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
13 + -4.666666667y + y2 = 0

Move the constant term to the right:

Add '-13' to each side of the equation.
13 + -4.666666667y + -13 + y2 = 0 + -13

Reorder the terms:
13 + -13 + -4.666666667y + y2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -4.666666667y + y2 = 0 + -13
-4.666666667y + y2 = 0 + -13

Combine like terms: 0 + -13 = -13
-4.666666667y + y2 = -13

The y term is -4.666666667y.  Take half its coefficient (-2.333333334).
Square it (5.444444448) and add it to both sides.

Add '5.444444448' to each side of the equation.
-4.666666667y + 5.444444448 + y2 = -13 + 5.444444448

Reorder the terms:
5.444444448 + -4.666666667y + y2 = -13 + 5.444444448

Combine like terms: -13 + 5.444444448 = -7.555555552
5.444444448 + -4.666666667y + y2 = -7.555555552

Factor a perfect square on the left side:
(y + -2.333333334)(y + -2.333333334) = -7.555555552

Can't calculate square root of the right side.

The solution to this equation could not be determined.