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

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

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

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

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

Remove parenthesis around (-1 + 5y)
-1 + 4y + 5y2 = -1 + 5y

Add '1' to each side of the equation.
-1 + 4y + 1 + 5y2 = -1 + 1 + 5y

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

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

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

Solving
4y + 5y2 = 5y

Solving for variable 'y'.

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

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

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

Factor out the Greatest Common Factor (GCF), 'y'.
y(-1 + 5y) = 0

Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

Move all terms containing y to the left, all other terms to the right.

Simplifying
y = 0
Subproblem 2
Set the factor '(-1 + 5y)' equal to zero and attempt to solve:

Simplifying
-1 + 5y = 0

Solving
-1 + 5y = 0

Move all terms containing y to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + 5y = 0 + 1

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

Combine like terms: 0 + 1 = 1
5y = 1

Divide each side by '5'.
y = 0.2

Simplifying
y = 0.2
Solution
y = {0, 0.2}