(y+5)(y-2)+12=(x+2)-10

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Solution for (y+5)(y-2)+12=(x+2)-10 equation: 


Simplifying
(y + 5)(y + -2) + 12 = (x + 2) + -10

Reorder the terms:
(5 + y)(y + -2) + 12 = (x + 2) + -10

Reorder the terms:
(5 + y)(-2 + y) + 12 = (x + 2) + -10

Multiply (5 + y) * (-2 + y)
(5(-2 + y) + y(-2 + y)) + 12 = (x + 2) + -10
((-2 * 5 + y * 5) + y(-2 + y)) + 12 = (x + 2) + -10
((-10 + 5y) + y(-2 + y)) + 12 = (x + 2) + -10
(-10 + 5y + (-2 * y + y * y)) + 12 = (x + 2) + -10
(-10 + 5y + (-2y + y2)) + 12 = (x + 2) + -10

Combine like terms: 5y + -2y = 3y
(-10 + 3y + y2) + 12 = (x + 2) + -10

Reorder the terms:
-10 + 12 + 3y + y2 = (x + 2) + -10

Combine like terms: -10 + 12 = 2
2 + 3y + y2 = (x + 2) + -10

Reorder the terms:
2 + 3y + y2 = (2 + x) + -10

Remove parenthesis around (2 + x)
2 + 3y + y2 = 2 + x + -10

Reorder the terms:
2 + 3y + y2 = 2 + -10 + x

Combine like terms: 2 + -10 = -8
2 + 3y + y2 = -8 + x

Solving
2 + 3y + y2 = -8 + x

Solving for variable 'y'.

Reorder the terms:
2 + 8 + -1x + 3y + y2 = -8 + x + 8 + -1x

Combine like terms: 2 + 8 = 10
10 + -1x + 3y + y2 = -8 + x + 8 + -1x

Reorder the terms:
10 + -1x + 3y + y2 = -8 + 8 + x + -1x

Combine like terms: -8 + 8 = 0
10 + -1x + 3y + y2 = 0 + x + -1x
10 + -1x + 3y + y2 = x + -1x

Combine like terms: x + -1x = 0
10 + -1x + 3y + y2 = 0

The solution to this equation could not be determined.

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