8y^2-12y+14=y+4

Solution for 8y^2-12y+14=y+4 equation:

Simplifying
8y2 + -12y + 14 = y + 4

Reorder the terms:
14 + -12y + 8y2 = y + 4

Reorder the terms:
14 + -12y + 8y2 = 4 + y

Solving
14 + -12y + 8y2 = 4 + y

Solving for variable 'y'.

Reorder the terms:
14 + -4 + -12y + -1y + 8y2 = 4 + y + -4 + -1y

Combine like terms: 14 + -4 = 10
10 + -12y + -1y + 8y2 = 4 + y + -4 + -1y

Combine like terms: -12y + -1y = -13y
10 + -13y + 8y2 = 4 + y + -4 + -1y

Reorder the terms:
10 + -13y + 8y2 = 4 + -4 + y + -1y

Combine like terms: 4 + -4 = 0
10 + -13y + 8y2 = 0 + y + -1y
10 + -13y + 8y2 = y + -1y

Combine like terms: y + -1y = 0
10 + -13y + 8y2 = 0

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

Divide each side by '8'.
1.25 + -1.625y + y2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + -1.625y + -1.25 + y2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + -1.625y + y2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + -1.625y + y2 = 0 + -1.25
-1.625y + y2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
-1.625y + y2 = -1.25

The y term is -1.625y.  Take half its coefficient (-0.8125).
Square it (0.66015625) and add it to both sides.

Add '0.66015625' to each side of the equation.
-1.625y + 0.66015625 + y2 = -1.25 + 0.66015625

Reorder the terms:
0.66015625 + -1.625y + y2 = -1.25 + 0.66015625

Combine like terms: -1.25 + 0.66015625 = -0.58984375
0.66015625 + -1.625y + y2 = -0.58984375

Factor a perfect square on the left side:
(y + -0.8125)(y + -0.8125) = -0.58984375

Can't calculate square root of the right side.

The solution to this equation could not be determined.