5y^2+6=86

Solution for 5y^2+6=86 equation:

Simplifying
5y2 + 6 = 86

Reorder the terms:
6 + 5y2 = 86

Solving
6 + 5y2 = 86

Solving for variable 'y'.

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

Add '-6' to each side of the equation.
6 + -6 + 5y2 = 86 + -6

Combine like terms: 6 + -6 = 0
0 + 5y2 = 86 + -6
5y2 = 86 + -6

Combine like terms: 86 + -6 = 80
5y2 = 80

Divide each side by '5'.
y2 = 16

Simplifying
y2 = 16

Take the square root of each side:
y = {-4, 4}