2y^2-37-6=0

Solution for 2y^2-37-6=0 equation:

Simplifying
2y2 + -37 + -6 = 0

Reorder the terms:
-37 + -6 + 2y2 = 0

Combine like terms: -37 + -6 = -43
-43 + 2y2 = 0

Solving
-43 + 2y2 = 0

Solving for variable 'y'.

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

Add '43' to each side of the equation.
-43 + 43 + 2y2 = 0 + 43

Combine like terms: -43 + 43 = 0
0 + 2y2 = 0 + 43
2y2 = 0 + 43

Combine like terms: 0 + 43 = 43
2y2 = 43

Divide each side by '2'.
y2 = 21.5

Simplifying
y2 = 21.5

Take the square root of each side:
y = {-4.636809248, 4.636809248}