1.8y+1.17=3.6y+7.83+y^2

Solution for 1.8y+1.17=3.6y+7.83+y^2 equation:

Simplifying
1.8y + 1.17 = 3.6y + 7.83 + y2

Reorder the terms:
1.17 + 1.8y = 3.6y + 7.83 + y2

Reorder the terms:
1.17 + 1.8y = 7.83 + 3.6y + y2

Solving
1.17 + 1.8y = 7.83 + 3.6y + y2

Solving for variable 'y'.

Reorder the terms:
1.17 + -7.83 + 1.8y + -3.6y + -1y2 = 7.83 + 3.6y + y2 + -7.83 + -3.6y + -1y2

Combine like terms: 1.17 + -7.83 = -6.66
-6.66 + 1.8y + -3.6y + -1y2 = 7.83 + 3.6y + y2 + -7.83 + -3.6y + -1y2

Combine like terms: 1.8y + -3.6y = -1.8y
-6.66 + -1.8y + -1y2 = 7.83 + 3.6y + y2 + -7.83 + -3.6y + -1y2

Reorder the terms:
-6.66 + -1.8y + -1y2 = 7.83 + -7.83 + 3.6y + -3.6y + y2 + -1y2

Combine like terms: 7.83 + -7.83 = 0.00
-6.66 + -1.8y + -1y2 = 0.00 + 3.6y + -3.6y + y2 + -1y2
-6.66 + -1.8y + -1y2 = 3.6y + -3.6y + y2 + -1y2

Combine like terms: 3.6y + -3.6y = 0.0
-6.66 + -1.8y + -1y2 = 0.0 + y2 + -1y2
-6.66 + -1.8y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-6.66 + -1.8y + -1y2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
6.66 + 1.8y + y2 = 0

Move the constant term to the right:

Add '-6.66' to each side of the equation.
6.66 + 1.8y + -6.66 + y2 = 0 + -6.66

Reorder the terms:
6.66 + -6.66 + 1.8y + y2 = 0 + -6.66

Combine like terms: 6.66 + -6.66 = 0.00
0.00 + 1.8y + y2 = 0 + -6.66
1.8y + y2 = 0 + -6.66

Combine like terms: 0 + -6.66 = -6.66
1.8y + y2 = -6.66

The y term is 1.8y.  Take half its coefficient (0.9).
Square it (0.81) and add it to both sides.

Add '0.81' to each side of the equation.
1.8y + 0.81 + y2 = -6.66 + 0.81

Reorder the terms:
0.81 + 1.8y + y2 = -6.66 + 0.81

Combine like terms: -6.66 + 0.81 = -5.85
0.81 + 1.8y + y2 = -5.85

Factor a perfect square on the left side:
(y + 0.9)(y + 0.9) = -5.85

Can't calculate square root of the right side.

The solution to this equation could not be determined.