3-(5y-6)+4(3+5y)y=2

Solution for 3-(5y-6)+4(3+5y)y=2 equation:

Simplifying
3 + -1(5y + -6) + 4(3 + 5y) * y = 2

Reorder the terms:
3 + -1(-6 + 5y) + 4(3 + 5y) * y = 2
3 + (-6 * -1 + 5y * -1) + 4(3 + 5y) * y = 2
3 + (6 + -5y) + 4(3 + 5y) * y = 2

Reorder the terms for easier multiplication:
3 + 6 + -5y + 4y(3 + 5y) = 2
3 + 6 + -5y + (3 * 4y + 5y * 4y) = 2
3 + 6 + -5y + (12y + 20y2) = 2

Combine like terms: 3 + 6 = 9
9 + -5y + 12y + 20y2 = 2

Combine like terms: -5y + 12y = 7y
9 + 7y + 20y2 = 2

Solving
9 + 7y + 20y2 = 2

Solving for variable 'y'.

Reorder the terms:
9 + -2 + 7y + 20y2 = 2 + -2

Combine like terms: 9 + -2 = 7
7 + 7y + 20y2 = 2 + -2

Combine like terms: 2 + -2 = 0
7 + 7y + 20y2 = 0

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

Divide each side by '20'.
0.35 + 0.35y + y2 = 0.0

Move the constant term to the right:

Add '-0.35' to each side of the equation.
0.35 + 0.35y + -0.35 + y2 = 0.0 + -0.35

Reorder the terms:
0.35 + -0.35 + 0.35y + y2 = 0.0 + -0.35

Combine like terms: 0.35 + -0.35 = 0.00
0.00 + 0.35y + y2 = 0.0 + -0.35
0.35y + y2 = 0.0 + -0.35

Combine like terms: 0.0 + -0.35 = -0.35
0.35y + y2 = -0.35

The y term is 0.35y.  Take half its coefficient (0.175).
Square it (0.030625) and add it to both sides.

Add '0.030625' to each side of the equation.
0.35y + 0.030625 + y2 = -0.35 + 0.030625

Reorder the terms:
0.030625 + 0.35y + y2 = -0.35 + 0.030625

Combine like terms: -0.35 + 0.030625 = -0.319375
0.030625 + 0.35y + y2 = -0.319375

Factor a perfect square on the left side:
(y + 0.175)(y + 0.175) = -0.319375

Can't calculate square root of the right side.

The solution to this equation could not be determined.