6y^2-y=3y-5

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Solution for 6y^2-y=3y-5 equation: 


Simplifying
6y2 + -1y = 3y + -5

Reorder the terms:
-1y + 6y2 = 3y + -5

Reorder the terms:
-1y + 6y2 = -5 + 3y

Solving
-1y + 6y2 = -5 + 3y

Solving for variable 'y'.

Reorder the terms:
5 + -1y + -3y + 6y2 = -5 + 3y + 5 + -3y

Combine like terms: -1y + -3y = -4y
5 + -4y + 6y2 = -5 + 3y + 5 + -3y

Reorder the terms:
5 + -4y + 6y2 = -5 + 5 + 3y + -3y

Combine like terms: -5 + 5 = 0
5 + -4y + 6y2 = 0 + 3y + -3y
5 + -4y + 6y2 = 3y + -3y

Combine like terms: 3y + -3y = 0
5 + -4y + 6y2 = 0

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

Divide each side by '6'.
0.8333333333 + -0.6666666667y + y2 = 0

Move the constant term to the right:

Add '-0.8333333333' to each side of the equation.
0.8333333333 + -0.6666666667y + -0.8333333333 + y2 = 0 + -0.8333333333

Reorder the terms:
0.8333333333 + -0.8333333333 + -0.6666666667y + y2 = 0 + -0.8333333333

Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000
0.0000000000 + -0.6666666667y + y2 = 0 + -0.8333333333
-0.6666666667y + y2 = 0 + -0.8333333333

Combine like terms: 0 + -0.8333333333 = -0.8333333333
-0.6666666667y + y2 = -0.8333333333

The y term is -0.6666666667y.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667y + 0.1111111112 + y2 = -0.8333333333 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667y + y2 = -0.8333333333 + 0.1111111112

Combine like terms: -0.8333333333 + 0.1111111112 = -0.7222222221
0.1111111112 + -0.6666666667y + y2 = -0.7222222221

Factor a perfect square on the left side:
(y + -0.3333333334)(y + -0.3333333334) = -0.7222222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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