14y^2-18y+4+2=2y

Solution for 14y^2-18y+4+2=2y equation:

Simplifying
14y2 + -18y + 4 + 2 = 2y

Reorder the terms:
4 + 2 + -18y + 14y2 = 2y

Combine like terms: 4 + 2 = 6
6 + -18y + 14y2 = 2y

Solving
6 + -18y + 14y2 = 2y

Solving for variable 'y'.

Reorder the terms:
6 + -18y + -2y + 14y2 = 2y + -2y

Combine like terms: -18y + -2y = -20y
6 + -20y + 14y2 = 2y + -2y

Combine like terms: 2y + -2y = 0
6 + -20y + 14y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -10y + 7y2) = 0

Factor a trinomial.
2((3 + -7y)(1 + -1y)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + -7y)' equal to zero and attempt to solve:

Simplifying
3 + -7y = 0

Solving
3 + -7y = 0

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

Add '-3' to each side of the equation.
3 + -3 + -7y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7y = 0 + -3
-7y = 0 + -3

Combine like terms: 0 + -3 = -3
-7y = -3

Divide each side by '-7'.
y = 0.4285714286

Simplifying
y = 0.4285714286
Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve:

Simplifying
1 + -1y = 0

Solving
1 + -1y = 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 + -1y = 0 + -1

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

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

Divide each side by '-1'.
y = 1

Simplifying
y = 1
Solution
y = {0.4285714286, 1}