(y+3)+(5+y)(5-y)=46

Solution for (y+3)+(5+y)(5-y)=46 equation:

Simplifying
(y + 3) + (5 + y)(5 + -1y) = 46

Reorder the terms:
(3 + y) + (5 + y)(5 + -1y) = 46

Remove parenthesis around (3 + y)
3 + y + (5 + y)(5 + -1y) = 46

Multiply (5 + y) * (5 + -1y)
3 + y + (5(5 + -1y) + y(5 + -1y)) = 46
3 + y + ((5 * 5 + -1y * 5) + y(5 + -1y)) = 46
3 + y + ((25 + -5y) + y(5 + -1y)) = 46
3 + y + (25 + -5y + (5 * y + -1y * y)) = 46
3 + y + (25 + -5y + (5y + -1y2)) = 46

Combine like terms: -5y + 5y = 0
3 + y + (25 + 0 + -1y2) = 46
3 + y + (25 + -1y2) = 46

Reorder the terms:
3 + 25 + y + -1y2 = 46

Combine like terms: 3 + 25 = 28
28 + y + -1y2 = 46

Solving
28 + y + -1y2 = 46

Solving for variable 'y'.

Reorder the terms:
28 + -46 + y + -1y2 = 46 + -46

Combine like terms: 28 + -46 = -18
-18 + y + -1y2 = 46 + -46

Combine like terms: 46 + -46 = 0
-18 + y + -1y2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
18 + -1y + y2 = 0

Move the constant term to the right:

Add '-18' to each side of the equation.
18 + -1y + -18 + y2 = 0 + -18

Reorder the terms:
18 + -18 + -1y + y2 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1y + y2 = 0 + -18
-1y + y2 = 0 + -18

Combine like terms: 0 + -18 = -18
-1y + y2 = -18

The y term is y.  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 = -18 + 0.25

Reorder the terms:
0.25 + -1y + y2 = -18 + 0.25

Combine like terms: -18 + 0.25 = -17.75
0.25 + -1y + y2 = -17.75

Factor a perfect square on the left side:
(y + 0.5)(y + 0.5) = -17.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.