2y^2-4=45

Solution for 2y^2-4=45 equation:

Simplifying
2y2 + -4 = 45

Reorder the terms:
-4 + 2y2 = 45

Solving
-4 + 2y2 = 45

Solving for variable 'y'.

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

Add '4' to each side of the equation.
-4 + 4 + 2y2 = 45 + 4

Combine like terms: -4 + 4 = 0
0 + 2y2 = 45 + 4
2y2 = 45 + 4

Combine like terms: 45 + 4 = 49
2y2 = 49

Divide each side by '2'.
y2 = 24.5

Simplifying
y2 = 24.5

Take the square root of each side:
y = {-4.949747468, 4.949747468}