(y+6)(y+2)=5y

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

Simplifying
(y + 6)(y + 2) = 5y

Reorder the terms:
(6 + y)(y + 2) = 5y

Reorder the terms:
(6 + y)(2 + y) = 5y

Multiply (6 + y) * (2 + y)
(6(2 + y) + y(2 + y)) = 5y
((2 * 6 + y * 6) + y(2 + y)) = 5y
((12 + 6y) + y(2 + y)) = 5y
(12 + 6y + (2 * y + y * y)) = 5y
(12 + 6y + (2y + y2)) = 5y

Combine like terms: 6y + 2y = 8y
(12 + 8y + y2) = 5y

Solving
12 + 8y + y2 = 5y

Solving for variable 'y'.

Reorder the terms:
12 + 8y + -5y + y2 = 5y + -5y

Combine like terms: 8y + -5y = 3y
12 + 3y + y2 = 5y + -5y

Combine like terms: 5y + -5y = 0
12 + 3y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + 3y + -12 + y2 = 0 + -12

Reorder the terms:
12 + -12 + 3y + y2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 3y + y2 = 0 + -12
3y + y2 = 0 + -12

Combine like terms: 0 + -12 = -12
3y + y2 = -12

The y term is 3y.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3y + 2.25 + y2 = -12 + 2.25

Reorder the terms:
2.25 + 3y + y2 = -12 + 2.25

Combine like terms: -12 + 2.25 = -9.75
2.25 + 3y + y2 = -9.75

Factor a perfect square on the left side:
(y + 1.5)(y + 1.5) = -9.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.