5(y-6)-1=-3(-8y+7)5y

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Solution for 5(y-6)-1=-3(-8y+7)5y equation: 


Simplifying
5(y + -6) + -1 = -3(-8y + 7) * 5y

Reorder the terms:
5(-6 + y) + -1 = -3(-8y + 7) * 5y
(-6 * 5 + y * 5) + -1 = -3(-8y + 7) * 5y
(-30 + 5y) + -1 = -3(-8y + 7) * 5y

Reorder the terms:
-30 + -1 + 5y = -3(-8y + 7) * 5y

Combine like terms: -30 + -1 = -31
-31 + 5y = -3(-8y + 7) * 5y

Reorder the terms:
-31 + 5y = -3(7 + -8y) * 5y

Reorder the terms for easier multiplication:
-31 + 5y = -3 * 5y(7 + -8y)

Multiply -3 * 5
-31 + 5y = -15y(7 + -8y)
-31 + 5y = (7 * -15y + -8y * -15y)
-31 + 5y = (-105y + 120y2)

Solving
-31 + 5y = -105y + 120y2

Solving for variable 'y'.

Combine like terms: 5y + 105y = 110y
-31 + 110y + -120y2 = -105y + 120y2 + 105y + -120y2

Reorder the terms:
-31 + 110y + -120y2 = -105y + 105y + 120y2 + -120y2

Combine like terms: -105y + 105y = 0
-31 + 110y + -120y2 = 0 + 120y2 + -120y2
-31 + 110y + -120y2 = 120y2 + -120y2

Combine like terms: 120y2 + -120y2 = 0
-31 + 110y + -120y2 = 0

Begin completing the square.  Divide all terms by
-120 the coefficient of the squared term: 

Divide each side by '-120'.
0.2583333333 + -0.9166666667y + y2 = 0

Move the constant term to the right:

Add '-0.2583333333' to each side of the equation.
0.2583333333 + -0.9166666667y + -0.2583333333 + y2 = 0 + -0.2583333333

Reorder the terms:
0.2583333333 + -0.2583333333 + -0.9166666667y + y2 = 0 + -0.2583333333

Combine like terms: 0.2583333333 + -0.2583333333 = 0.0000000000
0.0000000000 + -0.9166666667y + y2 = 0 + -0.2583333333
-0.9166666667y + y2 = 0 + -0.2583333333

Combine like terms: 0 + -0.2583333333 = -0.2583333333
-0.9166666667y + y2 = -0.2583333333

The y term is -0.9166666667y.  Take half its coefficient (-0.4583333334).
Square it (0.2100694445) and add it to both sides.

Add '0.2100694445' to each side of the equation.
-0.9166666667y + 0.2100694445 + y2 = -0.2583333333 + 0.2100694445

Reorder the terms:
0.2100694445 + -0.9166666667y + y2 = -0.2583333333 + 0.2100694445

Combine like terms: -0.2583333333 + 0.2100694445 = -0.0482638888
0.2100694445 + -0.9166666667y + y2 = -0.0482638888

Factor a perfect square on the left side:
(y + -0.4583333334)(y + -0.4583333334) = -0.0482638888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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