4y^2+y=5y-3

Solution for 4y^2+y=5y-3 equation:

Simplifying
4y2 + y = 5y + -3

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

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

Solving
y + 4y2 = -3 + 5y

Solving for variable 'y'.

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

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

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

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

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

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

Divide each side by '4'.
0.75 + -1y + y2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + -1y + -0.75 + y2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + -1y + y2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -1y + y2 = 0 + -0.75
-1y + y2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
-1y + y2 = -0.75

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 = -0.75 + 0.25

Reorder the terms:
0.25 + -1y + y2 = -0.75 + 0.25

Combine like terms: -0.75 + 0.25 = -0.5
0.25 + -1y + y2 = -0.5

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.