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

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


Simplifying
y2 + 6y + 5 = (y + 5)(y + n)

Reorder the terms:
5 + 6y + y2 = (y + 5)(y + n)

Reorder the terms:
5 + 6y + y2 = (5 + y)(y + n)

Reorder the terms:
5 + 6y + y2 = (5 + y)(n + y)

Multiply (5 + y) * (n + y)
5 + 6y + y2 = (5(n + y) + y(n + y))
5 + 6y + y2 = ((n * 5 + y * 5) + y(n + y))
5 + 6y + y2 = ((5n + 5y) + y(n + y))
5 + 6y + y2 = (5n + 5y + (n * y + y * y))
5 + 6y + y2 = (5n + 5y + (ny + y2))

Reorder the terms:
5 + 6y + y2 = (5n + ny + 5y + y2)
5 + 6y + y2 = (5n + ny + 5y + y2)

Add '-1y2' to each side of the equation.
5 + 6y + y2 + -1y2 = 5n + ny + 5y + y2 + -1y2

Combine like terms: y2 + -1y2 = 0
5 + 6y + 0 = 5n + ny + 5y + y2 + -1y2
5 + 6y = 5n + ny + 5y + y2 + -1y2

Combine like terms: y2 + -1y2 = 0
5 + 6y = 5n + ny + 5y + 0
5 + 6y = 5n + ny + 5y

Solving
5 + 6y = 5n + ny + 5y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-1ny' to each side of the equation.
5 + -1ny + 6y = 5n + ny + -1ny + 5y

Combine like terms: ny + -1ny = 0
5 + -1ny + 6y = 5n + 0 + 5y
5 + -1ny + 6y = 5n + 5y

Add '-5y' to each side of the equation.
5 + -1ny + 6y + -5y = 5n + 5y + -5y

Combine like terms: 6y + -5y = 1y
5 + -1ny + 1y = 5n + 5y + -5y

Combine like terms: 5y + -5y = 0
5 + -1ny + 1y = 5n + 0
5 + -1ny + 1y = 5n

Add '-5' to each side of the equation.
5 + -1ny + -5 + 1y = -5 + 5n

Reorder the terms:
5 + -5 + -1ny + 1y = -5 + 5n

Combine like terms: 5 + -5 = 0
0 + -1ny + 1y = -5 + 5n
-1ny + 1y = -5 + 5n

Reorder the terms:
5 + -5n + -1ny + 1y = -5 + 5n + 5 + -5n

Reorder the terms:
5 + -5n + -1ny + 1y = -5 + 5 + 5n + -5n

Combine like terms: -5 + 5 = 0
5 + -5n + -1ny + 1y = 0 + 5n + -5n
5 + -5n + -1ny + 1y = 5n + -5n

Combine like terms: 5n + -5n = 0
5 + -5n + -1ny + 1y = 0

The solution to this equation could not be determined.

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