Y^2-2y+5=3y-1

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Solution for Y^2-2y+5=3y-1 equation:


Simplifying
Y2 + -2y + 5 = 3y + -1

Reorder the terms:
5 + Y2 + -2y = 3y + -1

Reorder the terms:
5 + Y2 + -2y = -1 + 3y

Solving
5 + Y2 + -2y = -1 + 3y

Solving for variable 'Y'.

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

Add '-5' to each side of the equation.
5 + Y2 + -5 + -2y = -1 + -5 + 3y

Reorder the terms:
5 + -5 + Y2 + -2y = -1 + -5 + 3y

Combine like terms: 5 + -5 = 0
0 + Y2 + -2y = -1 + -5 + 3y
Y2 + -2y = -1 + -5 + 3y

Combine like terms: -1 + -5 = -6
Y2 + -2y = -6 + 3y

Add '2y' to each side of the equation.
Y2 + -2y + 2y = -6 + 3y + 2y

Combine like terms: -2y + 2y = 0
Y2 + 0 = -6 + 3y + 2y
Y2 = -6 + 3y + 2y

Combine like terms: 3y + 2y = 5y
Y2 = -6 + 5y

Simplifying
Y2 = -6 + 5y

Reorder the terms:
6 + Y2 + -5y = -6 + 5y + 6 + -5y

Reorder the terms:
6 + Y2 + -5y = -6 + 6 + 5y + -5y

Combine like terms: -6 + 6 = 0
6 + Y2 + -5y = 0 + 5y + -5y
6 + Y2 + -5y = 5y + -5y

Combine like terms: 5y + -5y = 0
6 + Y2 + -5y = 0

The solution to this equation could not be determined.

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