Y^2-6y+9=4y-12

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Solution for Y^2-6y+9=4y-12 equation: 


Simplifying
Y2 + -6y + 9 = 4y + -12

Reorder the terms:
9 + Y2 + -6y = 4y + -12

Reorder the terms:
9 + Y2 + -6y = -12 + 4y

Solving
9 + Y2 + -6y = -12 + 4y

Solving for variable 'Y'.

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

Add '-9' to each side of the equation.
9 + Y2 + -9 + -6y = -12 + -9 + 4y

Reorder the terms:
9 + -9 + Y2 + -6y = -12 + -9 + 4y

Combine like terms: 9 + -9 = 0
0 + Y2 + -6y = -12 + -9 + 4y
Y2 + -6y = -12 + -9 + 4y

Combine like terms: -12 + -9 = -21
Y2 + -6y = -21 + 4y

Add '6y' to each side of the equation.
Y2 + -6y + 6y = -21 + 4y + 6y

Combine like terms: -6y + 6y = 0
Y2 + 0 = -21 + 4y + 6y
Y2 = -21 + 4y + 6y

Combine like terms: 4y + 6y = 10y
Y2 = -21 + 10y

Simplifying
Y2 = -21 + 10y

Reorder the terms:
21 + Y2 + -10y = -21 + 10y + 21 + -10y

Reorder the terms:
21 + Y2 + -10y = -21 + 21 + 10y + -10y

Combine like terms: -21 + 21 = 0
21 + Y2 + -10y = 0 + 10y + -10y
21 + Y2 + -10y = 10y + -10y

Combine like terms: 10y + -10y = 0
21 + Y2 + -10y = 0

The solution to this equation could not be determined.

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