5y^2-16+11=0

Solution for 5y^2-16+11=0 equation:

Simplifying
5y2 + -16 + 11 = 0

Reorder the terms:
-16 + 11 + 5y2 = 0

Combine like terms: -16 + 11 = -5
-5 + 5y2 = 0

Solving
-5 + 5y2 = 0

Solving for variable 'y'.

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

Add '5' to each side of the equation.
-5 + 5 + 5y2 = 0 + 5

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

Combine like terms: 0 + 5 = 5
5y2 = 5

Divide each side by '5'.
y2 = 1

Simplifying
y2 = 1

Take the square root of each side:
y = {-1, 1}