(6-y)(y+2)=11y^2+3x-7y^2

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Solution for (6-y)(y+2)=11y^2+3x-7y^2 equation:


Simplifying
(6 + -1y)(y + 2) = 11y2 + 3x + -7y2

Reorder the terms:
(6 + -1y)(2 + y) = 11y2 + 3x + -7y2

Multiply (6 + -1y) * (2 + y)
(6(2 + y) + -1y * (2 + y)) = 11y2 + 3x + -7y2
((2 * 6 + y * 6) + -1y * (2 + y)) = 11y2 + 3x + -7y2
((12 + 6y) + -1y * (2 + y)) = 11y2 + 3x + -7y2
(12 + 6y + (2 * -1y + y * -1y)) = 11y2 + 3x + -7y2
(12 + 6y + (-2y + -1y2)) = 11y2 + 3x + -7y2

Combine like terms: 6y + -2y = 4y
(12 + 4y + -1y2) = 11y2 + 3x + -7y2

Reorder the terms:
12 + 4y + -1y2 = 3x + 11y2 + -7y2

Combine like terms: 11y2 + -7y2 = 4y2
12 + 4y + -1y2 = 3x + 4y2

Solving
12 + 4y + -1y2 = 3x + 4y2

Solving for variable 'y'.

Reorder the terms:
12 + -3x + 4y + -1y2 + -4y2 = 3x + 4y2 + -3x + -4y2

Combine like terms: -1y2 + -4y2 = -5y2
12 + -3x + 4y + -5y2 = 3x + 4y2 + -3x + -4y2

Reorder the terms:
12 + -3x + 4y + -5y2 = 3x + -3x + 4y2 + -4y2

Combine like terms: 3x + -3x = 0
12 + -3x + 4y + -5y2 = 0 + 4y2 + -4y2
12 + -3x + 4y + -5y2 = 4y2 + -4y2

Combine like terms: 4y2 + -4y2 = 0
12 + -3x + 4y + -5y2 = 0

The solution to this equation could not be determined.

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