78=2y^2+4

Solution for 78=2y^2+4 equation:

Simplifying
78 = 2y2 + 4

Reorder the terms:
78 = 4 + 2y2

Solving
78 = 4 + 2y2

Solving for variable 'y'.

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

Add '-2y2' to each side of the equation.
78 + -2y2 = 4 + 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
78 + -2y2 = 4 + 0
78 + -2y2 = 4

Add '-78' to each side of the equation.
78 + -78 + -2y2 = 4 + -78

Combine like terms: 78 + -78 = 0
0 + -2y2 = 4 + -78
-2y2 = 4 + -78

Combine like terms: 4 + -78 = -74
-2y2 = -74

Divide each side by '-2'.
y2 = 37

Simplifying
y2 = 37

Take the square root of each side:
y = {-6.08276253, 6.08276253}