Y^2+6y+9=5y+11

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Solution for Y^2+6y+9=5y+11 equation:


Simplifying
Y2 + 6y + 9 = 5y + 11

Reorder the terms:
9 + Y2 + 6y = 5y + 11

Reorder the terms:
9 + Y2 + 6y = 11 + 5y

Solving
9 + Y2 + 6y = 11 + 5y

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 = 11 + -9 + 5y

Reorder the terms:
9 + -9 + Y2 + 6y = 11 + -9 + 5y

Combine like terms: 9 + -9 = 0
0 + Y2 + 6y = 11 + -9 + 5y
Y2 + 6y = 11 + -9 + 5y

Combine like terms: 11 + -9 = 2
Y2 + 6y = 2 + 5y

Add '-6y' to each side of the equation.
Y2 + 6y + -6y = 2 + 5y + -6y

Combine like terms: 6y + -6y = 0
Y2 + 0 = 2 + 5y + -6y
Y2 = 2 + 5y + -6y

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

Simplifying
Y2 = 2 + -1y

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

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

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

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

The solution to this equation could not be determined.

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