((25y-10)+10)(y-0.40)=((25y)-5)(y+0.5)

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Solution for ((25y-10)+10)(y-0.40)=((25y)-5)(y+0.5) equation:


Simplifying
((25y + -10) + 10)(y + -0.40) = ((25y) + -5)(y + 0.5)

Reorder the terms:
((-10 + 25y) + 10)(y + -0.40) = ((25y) + -5)(y + 0.5)

Remove parenthesis around (-10 + 25y)
(-10 + 25y + 10)(y + -0.40) = ((25y) + -5)(y + 0.5)

Reorder the terms:
(-10 + 10 + 25y)(y + -0.40) = ((25y) + -5)(y + 0.5)

Combine like terms: -10 + 10 = 0
(0 + 25y)(y + -0.40) = ((25y) + -5)(y + 0.5)
(25y)(y + -0.40) = ((25y) + -5)(y + 0.5)

Remove parenthesis around (25y)
25y(y + -0.40) = ((25y) + -5)(y + 0.5)

Reorder the terms:
25y(-0.40 + y) = ((25y) + -5)(y + 0.5)
(-0.40 * 25y + y * 25y) = ((25y) + -5)(y + 0.5)
(-10y + 25y2) = ((25y) + -5)(y + 0.5)

Reorder the terms:
-10y + 25y2 = (-5 + (25y))(y + 0.5)

Reorder the terms:
-10y + 25y2 = (-5 + (25y))(0.5 + y)

Multiply (-5 + (25y)) * (0.5 + y)
-10y + 25y2 = (-5(0.5 + y) + (25y)(0.5 + y))
-10y + 25y2 = ((0.5 * -5 + y * -5) + (25y)(0.5 + y))
-10y + 25y2 = ((-2.5 + -5y) + (25y)(0.5 + y))
-10y + 25y2 = (-2.5 + -5y + (0.5 * 25y + y * 25y))
-10y + 25y2 = (-2.5 + -5y + (12.5y + 25y2))

Combine like terms: -5y + 12.5y = 7.5y
-10y + 25y2 = (-2.5 + 7.5y + 25y2)

Add '-25y2' to each side of the equation.
-10y + 25y2 + -25y2 = -2.5 + 7.5y + 25y2 + -25y2

Combine like terms: 25y2 + -25y2 = 0
-10y + 0 = -2.5 + 7.5y + 25y2 + -25y2
-10y = -2.5 + 7.5y + 25y2 + -25y2

Combine like terms: 25y2 + -25y2 = 0
-10y = -2.5 + 7.5y + 0
-10y = -2.5 + 7.5y

Solving
-10y = -2.5 + 7.5y

Solving for variable 'y'.

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

Add '-7.5y' to each side of the equation.
-10y + -7.5y = -2.5 + 7.5y + -7.5y

Combine like terms: -10y + -7.5y = -17.5y
-17.5y = -2.5 + 7.5y + -7.5y

Combine like terms: 7.5y + -7.5y = 0.0
-17.5y = -2.5 + 0.0
-17.5y = -2.5

Divide each side by '-17.5'.
y = 0.1428571429

Simplifying
y = 0.1428571429

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