2y^2+7y+42-y^2-6y-36=0

Solution for 2y^2+7y+42-y^2-6y-36=0 equation:

Simplifying
2y2 + 7y + 42 + -1y2 + -6y + -36 = 0

Reorder the terms:
42 + -36 + 7y + -6y + 2y2 + -1y2 = 0

Combine like terms: 42 + -36 = 6
6 + 7y + -6y + 2y2 + -1y2 = 0

Combine like terms: 7y + -6y = 1y
6 + 1y + 2y2 + -1y2 = 0

Combine like terms: 2y2 + -1y2 = 1y2
6 + 1y + 1y2 = 0

Solving
6 + 1y + 1y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 1y + -6 + y2 = 0 + -6

Reorder the terms:
6 + -6 + 1y + y2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 1y + y2 = 0 + -6
1y + y2 = 0 + -6

Combine like terms: 0 + -6 = -6
1y + y2 = -6

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.
y + 0.25 + y2 = -6 + 0.25

Reorder the terms:
0.25 + y + y2 = -6 + 0.25

Combine like terms: -6 + 0.25 = -5.75
0.25 + y + y2 = -5.75

Factor a perfect square on the left side:
(y + 0.5)(y + 0.5) = -5.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.