(-4y^2+2y-6)+(Y^2+7y+3)=0

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Solution for (-4y^2+2y-6)+(Y^2+7y+3)=0 equation:


Simplifying
(-4y2 + 2y + -6) + (Y2 + 7y + 3) = 0

Reorder the terms:
(-6 + 2y + -4y2) + (Y2 + 7y + 3) = 0

Remove parenthesis around (-6 + 2y + -4y2)
-6 + 2y + -4y2 + (Y2 + 7y + 3) = 0

Reorder the terms:
-6 + 2y + -4y2 + (3 + Y2 + 7y) = 0

Remove parenthesis around (3 + Y2 + 7y)
-6 + 2y + -4y2 + 3 + Y2 + 7y = 0

Reorder the terms:
-6 + 3 + Y2 + 2y + 7y + -4y2 = 0

Combine like terms: -6 + 3 = -3
-3 + Y2 + 2y + 7y + -4y2 = 0

Combine like terms: 2y + 7y = 9y
-3 + Y2 + 9y + -4y2 = 0

Solving
-3 + Y2 + 9y + -4y2 = 0

Solving for variable 'Y'.

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

Add '3' to each side of the equation.
-3 + Y2 + 9y + 3 + -4y2 = 0 + 3

Reorder the terms:
-3 + 3 + Y2 + 9y + -4y2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + Y2 + 9y + -4y2 = 0 + 3
Y2 + 9y + -4y2 = 0 + 3

Combine like terms: 0 + 3 = 3
Y2 + 9y + -4y2 = 3

Add '-9y' to each side of the equation.
Y2 + 9y + -9y + -4y2 = 3 + -9y

Combine like terms: 9y + -9y = 0
Y2 + 0 + -4y2 = 3 + -9y
Y2 + -4y2 = 3 + -9y

Add '4y2' to each side of the equation.
Y2 + -4y2 + 4y2 = 3 + -9y + 4y2

Combine like terms: -4y2 + 4y2 = 0
Y2 + 0 = 3 + -9y + 4y2
Y2 = 3 + -9y + 4y2

Simplifying
Y2 = 3 + -9y + 4y2

Reorder the terms:
-3 + Y2 + 9y + -4y2 = 3 + -9y + 4y2 + -3 + 9y + -4y2

Reorder the terms:
-3 + Y2 + 9y + -4y2 = 3 + -3 + -9y + 9y + 4y2 + -4y2

Combine like terms: 3 + -3 = 0
-3 + Y2 + 9y + -4y2 = 0 + -9y + 9y + 4y2 + -4y2
-3 + Y2 + 9y + -4y2 = -9y + 9y + 4y2 + -4y2

Combine like terms: -9y + 9y = 0
-3 + Y2 + 9y + -4y2 = 0 + 4y2 + -4y2
-3 + Y2 + 9y + -4y2 = 4y2 + -4y2

Combine like terms: 4y2 + -4y2 = 0
-3 + Y2 + 9y + -4y2 = 0

The solution to this equation could not be determined.

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