0.08(y-6)0.20y=0.12y-1.8

Solution for 0.08(y-6)0.20y=0.12y-1.8 equation:

Simplifying
0.08(y + -6) * 0.20y = 0.12y + -1.8

Reorder the terms:
0.08(-6 + y) * 0.20y = 0.12y + -1.8

Reorder the terms for easier multiplication:
0.08 * 0.20y(-6 + y) = 0.12y + -1.8

Multiply 0.08 * 0.20
0.016y(-6 + y) = 0.12y + -1.8
(-6 * 0.016y + y * 0.016y) = 0.12y + -1.8
(-0.096y + 0.016y2) = 0.12y + -1.8

Reorder the terms:
-0.096y + 0.016y2 = -1.8 + 0.12y

Solving
-0.096y + 0.016y2 = -1.8 + 0.12y

Solving for variable 'y'.

Reorder the terms:
1.8 + -0.096y + -0.12y + 0.016y2 = -1.8 + 0.12y + 1.8 + -0.12y

Combine like terms: -0.096y + -0.12y = -0.216y
1.8 + -0.216y + 0.016y2 = -1.8 + 0.12y + 1.8 + -0.12y

Reorder the terms:
1.8 + -0.216y + 0.016y2 = -1.8 + 1.8 + 0.12y + -0.12y

Combine like terms: -1.8 + 1.8 = 0.0
1.8 + -0.216y + 0.016y2 = 0.0 + 0.12y + -0.12y
1.8 + -0.216y + 0.016y2 = 0.12y + -0.12y

Combine like terms: 0.12y + -0.12y = 0.00
1.8 + -0.216y + 0.016y2 = 0.00

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

Divide each side by '0.016'.
112.5 + -13.5y + y2 = 0

Move the constant term to the right:

Add '-112.5' to each side of the equation.
112.5 + -13.5y + -112.5 + y2 = 0 + -112.5

Reorder the terms:
112.5 + -112.5 + -13.5y + y2 = 0 + -112.5

Combine like terms: 112.5 + -112.5 = 0.0
0.0 + -13.5y + y2 = 0 + -112.5
-13.5y + y2 = 0 + -112.5

Combine like terms: 0 + -112.5 = -112.5
-13.5y + y2 = -112.5

The y term is -13.5y.  Take half its coefficient (-6.75).
Square it (45.5625) and add it to both sides.

Add '45.5625' to each side of the equation.
-13.5y + 45.5625 + y2 = -112.5 + 45.5625

Reorder the terms:
45.5625 + -13.5y + y2 = -112.5 + 45.5625

Combine like terms: -112.5 + 45.5625 = -66.9375
45.5625 + -13.5y + y2 = -66.9375

Factor a perfect square on the left side:
(y + -6.75)(y + -6.75) = -66.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.