y(7y+1)-(-6y-3)=0

Solution for y(7y+1)-(-6y-3)=0 equation:

Simplifying
y(7y + 1) + -1(-6y + -3) = 0

Reorder the terms:
y(1 + 7y) + -1(-6y + -3) = 0
(1 * y + 7y * y) + -1(-6y + -3) = 0
(1y + 7y2) + -1(-6y + -3) = 0

Reorder the terms:
1y + 7y2 + -1(-3 + -6y) = 0
1y + 7y2 + (-3 * -1 + -6y * -1) = 0
1y + 7y2 + (3 + 6y) = 0

Reorder the terms:
3 + 1y + 6y + 7y2 = 0

Combine like terms: 1y + 6y = 7y
3 + 7y + 7y2 = 0

Solving
3 + 7y + 7y2 = 0

Solving for variable 'y'.

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

Divide each side by '7'.
0.4285714286 + y + y2 = 0

Move the constant term to the right:

Add '-0.4285714286' to each side of the equation.
0.4285714286 + y + -0.4285714286 + y2 = 0 + -0.4285714286

Reorder the terms:
0.4285714286 + -0.4285714286 + y + y2 = 0 + -0.4285714286

Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000
0.0000000000 + y + y2 = 0 + -0.4285714286
y + y2 = 0 + -0.4285714286

Combine like terms: 0 + -0.4285714286 = -0.4285714286
y + y2 = -0.4285714286

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

Add '0.25' to each side of the equation.
 + 0.25 + y2 = -0.4285714286 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + y2 = -0.4285714286 + 0.25

Combine like terms: -0.4285714286 + 0.25 = -0.1785714286
1.25 + y2 = -0.1785714286

Factor a perfect square on the left side:
(y + 0.5)(y + 0.5) = -0.1785714286

Can't calculate square root of the right side.

The solution to this equation could not be determined.