8(y-7)=3(y+2)+(y+y+y)y+y+y

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Solution for 8(y-7)=3(y+2)+(y+y+y)y+y+y equation: 


Simplifying
8(y + -7) = 3(y + 2) + (y + y + y) * y + y + y

Reorder the terms:
8(-7 + y) = 3(y + 2) + (y + y + y) * y + y + y
(-7 * 8 + y * 8) = 3(y + 2) + (y + y + y) * y + y + y
(-56 + 8y) = 3(y + 2) + (y + y + y) * y + y + y

Reorder the terms:
-56 + 8y = 3(2 + y) + (y + y + y) * y + y + y
-56 + 8y = (2 * 3 + y * 3) + (y + y + y) * y + y + y
-56 + 8y = (6 + 3y) + (y + y + y) * y + y + y

Combine like terms: y + y = 2y
-56 + 8y = 6 + 3y + (2y + y) * y + y + y

Combine like terms: 2y + y = 3y
-56 + 8y = 6 + 3y + (3y) * y + y + y

Remove parenthesis around (3y)
-56 + 8y = 6 + 3y + 3y * y + y + y

Multiply y * y
-56 + 8y = 6 + 3y + 3y2 + y + y

Reorder the terms:
-56 + 8y = 6 + 3y + y + y + 3y2

Combine like terms: 3y + y = 4y
-56 + 8y = 6 + 4y + y + 3y2

Combine like terms: 4y + y = 5y
-56 + 8y = 6 + 5y + 3y2

Solving
-56 + 8y = 6 + 5y + 3y2

Solving for variable 'y'.

Reorder the terms:
-56 + -6 + 8y + -5y + -3y2 = 6 + 5y + 3y2 + -6 + -5y + -3y2

Combine like terms: -56 + -6 = -62
-62 + 8y + -5y + -3y2 = 6 + 5y + 3y2 + -6 + -5y + -3y2

Combine like terms: 8y + -5y = 3y
-62 + 3y + -3y2 = 6 + 5y + 3y2 + -6 + -5y + -3y2

Reorder the terms:
-62 + 3y + -3y2 = 6 + -6 + 5y + -5y + 3y2 + -3y2

Combine like terms: 6 + -6 = 0
-62 + 3y + -3y2 = 0 + 5y + -5y + 3y2 + -3y2
-62 + 3y + -3y2 = 5y + -5y + 3y2 + -3y2

Combine like terms: 5y + -5y = 0
-62 + 3y + -3y2 = 0 + 3y2 + -3y2
-62 + 3y + -3y2 = 3y2 + -3y2

Combine like terms: 3y2 + -3y2 = 0
-62 + 3y + -3y2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
20.66666667 + -1y + y2 = 0

Move the constant term to the right:

Add '-20.66666667' to each side of the equation.
20.66666667 + -1y + -20.66666667 + y2 = 0 + -20.66666667

Reorder the terms:
20.66666667 + -20.66666667 + -1y + y2 = 0 + -20.66666667

Combine like terms: 20.66666667 + -20.66666667 = 0.00000000
0.00000000 + -1y + y2 = 0 + -20.66666667
-1y + y2 = 0 + -20.66666667

Combine like terms: 0 + -20.66666667 = -20.66666667
-1y + y2 = -20.66666667

The y term is -1y.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1y + 0.25 + y2 = -20.66666667 + 0.25

Reorder the terms:
0.25 + -1y + y2 = -20.66666667 + 0.25

Combine like terms: -20.66666667 + 0.25 = -20.41666667
0.25 + -1y + y2 = -20.41666667

Factor a perfect square on the left side:
(y + -0.5)(y + -0.5) = -20.41666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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