5y^2+4-1=(5y-1)

Solution for 5y^2+4-1=(5y-1) equation:

Simplifying
5y2 + 4 + -1 = (5y + -1)

Reorder the terms:
4 + -1 + 5y2 = (5y + -1)

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

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

Remove parenthesis around (-1 + 5y)
3 + 5y2 = -1 + 5y

Solving
3 + 5y2 = -1 + 5y

Solving for variable 'y'.

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

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

Reorder the terms:
4 + -5y + 5y2 = -1 + 1 + 5y + -5y

Combine like terms: -1 + 1 = 0
4 + -5y + 5y2 = 0 + 5y + -5y
4 + -5y + 5y2 = 5y + -5y

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

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

Divide each side by '5'.
0.8 + -1y + y2 = 0

Move the constant term to the right:

Add '-0.8' to each side of the equation.
0.8 + -1y + -0.8 + y2 = 0 + -0.8

Reorder the terms:
0.8 + -0.8 + -1y + y2 = 0 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -1y + y2 = 0 + -0.8
-1y + y2 = 0 + -0.8

Combine like terms: 0 + -0.8 = -0.8
-1y + y2 = -0.8

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 = -0.8 + 0.25

Reorder the terms:
0.25 + -1y + y2 = -0.8 + 0.25

Combine like terms: -0.8 + 0.25 = -0.55
0.25 + -1y + y2 = -0.55

Factor a perfect square on the left side:
(y + -0.5)(y + -0.5) = -0.55

Can't calculate square root of the right side.

The solution to this equation could not be determined.