2y^2+9=13

Solution for 2y^2+9=13 equation:

Simplifying
2y2 + 9 = 13

Reorder the terms:
9 + 2y2 = 13

Solving
9 + 2y2 = 13

Solving for variable 'y'.

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

Add '-9' to each side of the equation.
9 + -9 + 2y2 = 13 + -9

Combine like terms: 9 + -9 = 0
0 + 2y2 = 13 + -9
2y2 = 13 + -9

Combine like terms: 13 + -9 = 4
2y2 = 4

Divide each side by '2'.
y2 = 2

Simplifying
y2 = 2

Take the square root of each side:
y = {-1.414213562, 1.414213562}