-10y+18=-3y(5y-7)-8

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Solution for -10y+18=-3y(5y-7)-8 equation: 


Simplifying
-10y + 18 = -3y(5y + -7) + -8

Reorder the terms:
18 + -10y = -3y(5y + -7) + -8

Reorder the terms:
18 + -10y = -3y(-7 + 5y) + -8
18 + -10y = (-7 * -3y + 5y * -3y) + -8
18 + -10y = (21y + -15y2) + -8

Reorder the terms:
18 + -10y = -8 + 21y + -15y2

Solving
18 + -10y = -8 + 21y + -15y2

Solving for variable 'y'.

Reorder the terms:
18 + 8 + -10y + -21y + 15y2 = -8 + 21y + -15y2 + 8 + -21y + 15y2

Combine like terms: 18 + 8 = 26
26 + -10y + -21y + 15y2 = -8 + 21y + -15y2 + 8 + -21y + 15y2

Combine like terms: -10y + -21y = -31y
26 + -31y + 15y2 = -8 + 21y + -15y2 + 8 + -21y + 15y2

Reorder the terms:
26 + -31y + 15y2 = -8 + 8 + 21y + -21y + -15y2 + 15y2

Combine like terms: -8 + 8 = 0
26 + -31y + 15y2 = 0 + 21y + -21y + -15y2 + 15y2
26 + -31y + 15y2 = 21y + -21y + -15y2 + 15y2

Combine like terms: 21y + -21y = 0
26 + -31y + 15y2 = 0 + -15y2 + 15y2
26 + -31y + 15y2 = -15y2 + 15y2

Combine like terms: -15y2 + 15y2 = 0
26 + -31y + 15y2 = 0

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

Divide each side by '15'.
1.733333333 + -2.066666667y + y2 = 0

Move the constant term to the right:

Add '-1.733333333' to each side of the equation.
1.733333333 + -2.066666667y + -1.733333333 + y2 = 0 + -1.733333333

Reorder the terms:
1.733333333 + -1.733333333 + -2.066666667y + y2 = 0 + -1.733333333

Combine like terms: 1.733333333 + -1.733333333 = 0.000000000
0.000000000 + -2.066666667y + y2 = 0 + -1.733333333
-2.066666667y + y2 = 0 + -1.733333333

Combine like terms: 0 + -1.733333333 = -1.733333333
-2.066666667y + y2 = -1.733333333

The y term is -2.066666667y.  Take half its coefficient (-1.033333334).
Square it (1.067777779) and add it to both sides.

Add '1.067777779' to each side of the equation.
-2.066666667y + 1.067777779 + y2 = -1.733333333 + 1.067777779

Reorder the terms:
1.067777779 + -2.066666667y + y2 = -1.733333333 + 1.067777779

Combine like terms: -1.733333333 + 1.067777779 = -0.665555554
1.067777779 + -2.066666667y + y2 = -0.665555554

Factor a perfect square on the left side:
(y + -1.033333334)(y + -1.033333334) = -0.665555554

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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