38=-3[4y+2]y

Solution for 38=-3[4y+2]y equation:

Simplifying
38 = -3[4y + 2] * y

Reorder the terms:
38 = -3[2 + 4y] * y

Reorder the terms for easier multiplication:
38 = -3y[2 + 4y]
38 = [2 * -3y + 4y * -3y]
38 = [-6y + -12y2]

Solving
38 = -6y + -12y2

Solving for variable 'y'.

Reorder the terms:
38 + 6y + 12y2 = -6y + 6y + -12y2 + 12y2

Combine like terms: -6y + 6y = 0
38 + 6y + 12y2 = 0 + -12y2 + 12y2
38 + 6y + 12y2 = -12y2 + 12y2

Combine like terms: -12y2 + 12y2 = 0
38 + 6y + 12y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(19 + 3y + 6y2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(19 + 3y + 6y2)' equal to zero and attempt to solve:

Simplifying
19 + 3y + 6y2 = 0

Solving
19 + 3y + 6y2 = 0

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

Divide each side by '6'.
3.166666667 + 0.5y + y2 = 0

Move the constant term to the right:

Add '-3.166666667' to each side of the equation.
3.166666667 + 0.5y + -3.166666667 + y2 = 0 + -3.166666667

Reorder the terms:
3.166666667 + -3.166666667 + 0.5y + y2 = 0 + -3.166666667

Combine like terms: 3.166666667 + -3.166666667 = 0.000000000
0.000000000 + 0.5y + y2 = 0 + -3.166666667
0.5y + y2 = 0 + -3.166666667

Combine like terms: 0 + -3.166666667 = -3.166666667
0.5y + y2 = -3.166666667

The y term is 0.5y.  Take half its coefficient (0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
0.5y + 0.0625 + y2 = -3.166666667 + 0.0625

Reorder the terms:
0.0625 + 0.5y + y2 = -3.166666667 + 0.0625

Combine like terms: -3.166666667 + 0.0625 = -3.104166667
0.0625 + 0.5y + y2 = -3.104166667

Factor a perfect square on the left side:
(y + 0.25)(y + 0.25) = -3.104166667

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.