Y^2-10y-25=2y^2-8y+1

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Solution for Y^2-10y-25=2y^2-8y+1 equation: 


Simplifying
Y2 + -10y + -25 = 2y2 + -8y + 1

Reorder the terms:
-25 + Y2 + -10y = 2y2 + -8y + 1

Reorder the terms:
-25 + Y2 + -10y = 1 + -8y + 2y2

Solving
-25 + Y2 + -10y = 1 + -8y + 2y2

Solving for variable 'Y'.

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

Add '25' to each side of the equation.
-25 + Y2 + 25 + -10y = 1 + -8y + 25 + 2y2

Reorder the terms:
-25 + 25 + Y2 + -10y = 1 + -8y + 25 + 2y2

Combine like terms: -25 + 25 = 0
0 + Y2 + -10y = 1 + -8y + 25 + 2y2
Y2 + -10y = 1 + -8y + 25 + 2y2

Reorder the terms:
Y2 + -10y = 1 + 25 + -8y + 2y2

Combine like terms: 1 + 25 = 26
Y2 + -10y = 26 + -8y + 2y2

Add '10y' to each side of the equation.
Y2 + -10y + 10y = 26 + -8y + 10y + 2y2

Combine like terms: -10y + 10y = 0
Y2 + 0 = 26 + -8y + 10y + 2y2
Y2 = 26 + -8y + 10y + 2y2

Combine like terms: -8y + 10y = 2y
Y2 = 26 + 2y + 2y2

Simplifying
Y2 = 26 + 2y + 2y2

Reorder the terms:
-26 + Y2 + -2y + -2y2 = 26 + 2y + 2y2 + -26 + -2y + -2y2

Reorder the terms:
-26 + Y2 + -2y + -2y2 = 26 + -26 + 2y + -2y + 2y2 + -2y2

Combine like terms: 26 + -26 = 0
-26 + Y2 + -2y + -2y2 = 0 + 2y + -2y + 2y2 + -2y2
-26 + Y2 + -2y + -2y2 = 2y + -2y + 2y2 + -2y2

Combine like terms: 2y + -2y = 0
-26 + Y2 + -2y + -2y2 = 0 + 2y2 + -2y2
-26 + Y2 + -2y + -2y2 = 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
-26 + Y2 + -2y + -2y2 = 0

The solution to this equation could not be determined.

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