((-7.5+3.5y)-10)(y+5)=((-7.5+3.5y)+25)(y-5)

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Solution for ((-7.5+3.5y)-10)(y+5)=((-7.5+3.5y)+25)(y-5) equation: 


Simplifying
((-7.5 + 3.5y) + -10)(y + 5) = ((-7.5 + 3.5y) + 25)(y + -5)

Remove parenthesis around (-7.5 + 3.5y)
(-7.5 + 3.5y + -10)(y + 5) = ((-7.5 + 3.5y) + 25)(y + -5)

Reorder the terms:
(-7.5 + -10 + 3.5y)(y + 5) = ((-7.5 + 3.5y) + 25)(y + -5)

Combine like terms: -7.5 + -10 = -17.5
(-17.5 + 3.5y)(y + 5) = ((-7.5 + 3.5y) + 25)(y + -5)

Reorder the terms:
(-17.5 + 3.5y)(5 + y) = ((-7.5 + 3.5y) + 25)(y + -5)

Multiply (-17.5 + 3.5y) * (5 + y)
(-17.5(5 + y) + 3.5y * (5 + y)) = ((-7.5 + 3.5y) + 25)(y + -5)
((5 * -17.5 + y * -17.5) + 3.5y * (5 + y)) = ((-7.5 + 3.5y) + 25)(y + -5)
((-87.5 + -17.5y) + 3.5y * (5 + y)) = ((-7.5 + 3.5y) + 25)(y + -5)
(-87.5 + -17.5y + (5 * 3.5y + y * 3.5y)) = ((-7.5 + 3.5y) + 25)(y + -5)
(-87.5 + -17.5y + (17.5y + 3.5y2)) = ((-7.5 + 3.5y) + 25)(y + -5)

Combine like terms: -17.5y + 17.5y = 0.0
(-87.5 + 0.0 + 3.5y2) = ((-7.5 + 3.5y) + 25)(y + -5)
(-87.5 + 3.5y2) = ((-7.5 + 3.5y) + 25)(y + -5)

Remove parenthesis around (-7.5 + 3.5y)
-87.5 + 3.5y2 = (-7.5 + 3.5y + 25)(y + -5)

Reorder the terms:
-87.5 + 3.5y2 = (-7.5 + 25 + 3.5y)(y + -5)

Combine like terms: -7.5 + 25 = 17.5
-87.5 + 3.5y2 = (17.5 + 3.5y)(y + -5)

Reorder the terms:
-87.5 + 3.5y2 = (17.5 + 3.5y)(-5 + y)

Multiply (17.5 + 3.5y) * (-5 + y)
-87.5 + 3.5y2 = (17.5(-5 + y) + 3.5y * (-5 + y))
-87.5 + 3.5y2 = ((-5 * 17.5 + y * 17.5) + 3.5y * (-5 + y))
-87.5 + 3.5y2 = ((-87.5 + 17.5y) + 3.5y * (-5 + y))
-87.5 + 3.5y2 = (-87.5 + 17.5y + (-5 * 3.5y + y * 3.5y))
-87.5 + 3.5y2 = (-87.5 + 17.5y + (-17.5y + 3.5y2))

Combine like terms: 17.5y + -17.5y = 0.0
-87.5 + 3.5y2 = (-87.5 + 0.0 + 3.5y2)
-87.5 + 3.5y2 = (-87.5 + 3.5y2)

Add '87.5' to each side of the equation.
-87.5 + 87.5 + 3.5y2 = -87.5 + 87.5 + 3.5y2

Combine like terms: -87.5 + 87.5 = 0.0
0.0 + 3.5y2 = -87.5 + 87.5 + 3.5y2
3.5y2 = -87.5 + 87.5 + 3.5y2

Combine like terms: -87.5 + 87.5 = 0.0
3.5y2 = 0.0 + 3.5y2
3.5y2 = 3.5y2

Add '-3.5y2' to each side of the equation.
3.5y2 + -3.5y2 = 3.5y2 + -3.5y2

Combine like terms: 3.5y2 + -3.5y2 = 0.0
0.0 = 3.5y2 + -3.5y2

Combine like terms: 3.5y2 + -3.5y2 = 0.0
0.0 = 0.0

Solving
0.0 = 0.0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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