(Y-7)(y-7)=(y+5)(y+5)

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Solution for (Y-7)(y-7)=(y+5)(y+5) equation: 


Simplifying
(Y + -7)(y + -7) = (y + 5)(y + 5)

Reorder the terms:
(-7 + Y)(y + -7) = (y + 5)(y + 5)

Reorder the terms:
(-7 + Y)(-7 + y) = (y + 5)(y + 5)

Multiply (-7 + Y) * (-7 + y)
(-7(-7 + y) + Y(-7 + y)) = (y + 5)(y + 5)
((-7 * -7 + y * -7) + Y(-7 + y)) = (y + 5)(y + 5)
((49 + -7y) + Y(-7 + y)) = (y + 5)(y + 5)
(49 + -7y + (-7 * Y + y * Y)) = (y + 5)(y + 5)
(49 + -7y + (-7Y + yY)) = (y + 5)(y + 5)

Reorder the terms:
(49 + -7Y + -7y + yY) = (y + 5)(y + 5)
(49 + -7Y + -7y + yY) = (y + 5)(y + 5)

Reorder the terms:
49 + -7Y + -7y + yY = (5 + y)(y + 5)

Reorder the terms:
49 + -7Y + -7y + yY = (5 + y)(5 + y)

Multiply (5 + y) * (5 + y)
49 + -7Y + -7y + yY = (5(5 + y) + y(5 + y))
49 + -7Y + -7y + yY = ((5 * 5 + y * 5) + y(5 + y))
49 + -7Y + -7y + yY = ((25 + 5y) + y(5 + y))
49 + -7Y + -7y + yY = (25 + 5y + (5 * y + y * y))
49 + -7Y + -7y + yY = (25 + 5y + (5y + y2))

Combine like terms: 5y + 5y = 10y
49 + -7Y + -7y + yY = (25 + 10y + y2)

Solving
49 + -7Y + -7y + yY = 25 + 10y + y2

Solving for variable 'Y'.

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

Add '-49' to each side of the equation.
49 + -7Y + -7y + -49 + yY = 25 + 10y + -49 + y2

Reorder the terms:
49 + -49 + -7Y + -7y + yY = 25 + 10y + -49 + y2

Combine like terms: 49 + -49 = 0
0 + -7Y + -7y + yY = 25 + 10y + -49 + y2
-7Y + -7y + yY = 25 + 10y + -49 + y2

Reorder the terms:
-7Y + -7y + yY = 25 + -49 + 10y + y2

Combine like terms: 25 + -49 = -24
-7Y + -7y + yY = -24 + 10y + y2

Add '7y' to each side of the equation.
-7Y + -7y + 7y + yY = -24 + 10y + 7y + y2

Combine like terms: -7y + 7y = 0
-7Y + 0 + yY = -24 + 10y + 7y + y2
-7Y + yY = -24 + 10y + 7y + y2

Combine like terms: 10y + 7y = 17y
-7Y + yY = -24 + 17y + y2

Reorder the terms:
24 + -7Y + -17y + yY + -1y2 = -24 + 17y + y2 + 24 + -17y + -1y2

Reorder the terms:
24 + -7Y + -17y + yY + -1y2 = -24 + 24 + 17y + -17y + y2 + -1y2

Combine like terms: -24 + 24 = 0
24 + -7Y + -17y + yY + -1y2 = 0 + 17y + -17y + y2 + -1y2
24 + -7Y + -17y + yY + -1y2 = 17y + -17y + y2 + -1y2

Combine like terms: 17y + -17y = 0
24 + -7Y + -17y + yY + -1y2 = 0 + y2 + -1y2
24 + -7Y + -17y + yY + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
24 + -7Y + -17y + yY + -1y2 = 0

The solution to this equation could not be determined.

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