Y^2+6y+9=40

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Solution for Y^2+6y+9=40 equation: 


Simplifying
Y2 + 6y + 9 = 40

Reorder the terms:
9 + Y2 + 6y = 40

Solving
9 + Y2 + 6y = 40

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 = 40 + -9

Reorder the terms:
9 + -9 + Y2 + 6y = 40 + -9

Combine like terms: 9 + -9 = 0
0 + Y2 + 6y = 40 + -9
Y2 + 6y = 40 + -9

Combine like terms: 40 + -9 = 31
Y2 + 6y = 31

Add '-6y' to each side of the equation.
Y2 + 6y + -6y = 31 + -6y

Combine like terms: 6y + -6y = 0
Y2 + 0 = 31 + -6y
Y2 = 31 + -6y

Simplifying
Y2 = 31 + -6y

Reorder the terms:
-31 + Y2 + 6y = 31 + -6y + -31 + 6y

Reorder the terms:
-31 + Y2 + 6y = 31 + -31 + -6y + 6y

Combine like terms: 31 + -31 = 0
-31 + Y2 + 6y = 0 + -6y + 6y
-31 + Y2 + 6y = -6y + 6y

Combine like terms: -6y + 6y = 0
-31 + Y2 + 6y = 0

The solution to this equation could not be determined.

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