(Y+6)(y+6)=y(y-6)

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Solution for (Y+6)(y+6)=y(y-6) equation: 


Simplifying
(Y + 6)(y + 6) = y(y + -6)

Reorder the terms:
(6 + Y)(y + 6) = y(y + -6)

Reorder the terms:
(6 + Y)(6 + y) = y(y + -6)

Multiply (6 + Y) * (6 + y)
(6(6 + y) + Y(6 + y)) = y(y + -6)
((6 * 6 + y * 6) + Y(6 + y)) = y(y + -6)
((36 + 6y) + Y(6 + y)) = y(y + -6)
(36 + 6y + (6 * Y + y * Y)) = y(y + -6)
(36 + 6y + (6Y + yY)) = y(y + -6)

Reorder the terms:
(36 + 6Y + 6y + yY) = y(y + -6)
(36 + 6Y + 6y + yY) = y(y + -6)

Reorder the terms:
36 + 6Y + 6y + yY = y(-6 + y)
36 + 6Y + 6y + yY = (-6 * y + y * y)
36 + 6Y + 6y + yY = (-6y + y2)

Solving
36 + 6Y + 6y + yY = -6y + y2

Solving for variable 'Y'.

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

Add '-36' to each side of the equation.
36 + 6Y + 6y + -36 + yY = -6y + -36 + y2

Reorder the terms:
36 + -36 + 6Y + 6y + yY = -6y + -36 + y2

Combine like terms: 36 + -36 = 0
0 + 6Y + 6y + yY = -6y + -36 + y2
6Y + 6y + yY = -6y + -36 + y2

Reorder the terms:
6Y + 6y + yY = -36 + -6y + y2

Add '-6y' to each side of the equation.
6Y + 6y + -6y + yY = -36 + -6y + -6y + y2

Combine like terms: 6y + -6y = 0
6Y + 0 + yY = -36 + -6y + -6y + y2
6Y + yY = -36 + -6y + -6y + y2

Combine like terms: -6y + -6y = -12y
6Y + yY = -36 + -12y + y2

Reorder the terms:
36 + 6Y + 12y + yY + -1y2 = -36 + -12y + y2 + 36 + 12y + -1y2

Reorder the terms:
36 + 6Y + 12y + yY + -1y2 = -36 + 36 + -12y + 12y + y2 + -1y2

Combine like terms: -36 + 36 = 0
36 + 6Y + 12y + yY + -1y2 = 0 + -12y + 12y + y2 + -1y2
36 + 6Y + 12y + yY + -1y2 = -12y + 12y + y2 + -1y2

Combine like terms: -12y + 12y = 0
36 + 6Y + 12y + yY + -1y2 = 0 + y2 + -1y2
36 + 6Y + 12y + yY + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
36 + 6Y + 12y + yY + -1y2 = 0

The solution to this equation could not be determined.

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