(y-3)(y+4)+2=y-3

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Solution for (y-3)(y+4)+2=y-3 equation:


Simplifying
(y + -3)(y + 4) + 2 = y + -3

Reorder the terms:
(-3 + y)(y + 4) + 2 = y + -3

Reorder the terms:
(-3 + y)(4 + y) + 2 = y + -3

Multiply (-3 + y) * (4 + y)
(-3(4 + y) + y(4 + y)) + 2 = y + -3
((4 * -3 + y * -3) + y(4 + y)) + 2 = y + -3
((-12 + -3y) + y(4 + y)) + 2 = y + -3
(-12 + -3y + (4 * y + y * y)) + 2 = y + -3
(-12 + -3y + (4y + y2)) + 2 = y + -3

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

Reorder the terms:
-12 + 2 + 1y + y2 = y + -3

Combine like terms: -12 + 2 = -10
-10 + 1y + y2 = y + -3

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

Solving
-10 + 1y + y2 = -3 + y

Solving for variable 'y'.

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

Combine like terms: -10 + 3 = -7
-7 + 1y + -1y + y2 = -3 + y + 3 + -1y

Combine like terms: 1y + -1y = 0
-7 + 0 + y2 = -3 + y + 3 + -1y
-7 + y2 = -3 + y + 3 + -1y

Reorder the terms:
-7 + y2 = -3 + 3 + y + -1y

Combine like terms: -3 + 3 = 0
-7 + y2 = 0 + y + -1y
-7 + y2 = y + -1y

Combine like terms: y + -1y = 0
-7 + y2 = 0

The solution to this equation could not be determined.

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