(y+6)(y+2)=-7

Solution for (y+6)(y+2)=-7 equation:

Simplifying
(y + 6)(y + 2) = -7

Reorder the terms:
(6 + y)(y + 2) = -7

Reorder the terms:
(6 + y)(2 + y) = -7

Multiply (6 + y) * (2 + y)
(6(2 + y) + y(2 + y)) = -7
((2 * 6 + y * 6) + y(2 + y)) = -7
((12 + 6y) + y(2 + y)) = -7
(12 + 6y + (2 * y + y * y)) = -7
(12 + 6y + (2y + y2)) = -7

Combine like terms: 6y + 2y = 8y
(12 + 8y + y2) = -7

Solving
12 + 8y + y2 = -7

Solving for variable 'y'.

Reorder the terms:
12 + 7 + 8y + y2 = -7 + 7

Combine like terms: 12 + 7 = 19
19 + 8y + y2 = -7 + 7

Combine like terms: -7 + 7 = 0
19 + 8y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-19' to each side of the equation.
19 + 8y + -19 + y2 = 0 + -19

Reorder the terms:
19 + -19 + 8y + y2 = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 8y + y2 = 0 + -19
8y + y2 = 0 + -19

Combine like terms: 0 + -19 = -19
8y + y2 = -19

The y term is 8y.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8y + 16 + y2 = -19 + 16

Reorder the terms:
16 + 8y + y2 = -19 + 16

Combine like terms: -19 + 16 = -3
16 + 8y + y2 = -3

Factor a perfect square on the left side:
(y + 4)(y + 4) = -3

Can't calculate square root of the right side.

The solution to this equation could not be determined.