8y^2-49+6=0

Solution for 8y^2-49+6=0 equation:

Simplifying
8y2 + -49 + 6 = 0

Reorder the terms:
-49 + 6 + 8y2 = 0

Combine like terms: -49 + 6 = -43
-43 + 8y2 = 0

Solving
-43 + 8y2 = 0

Solving for variable 'y'.

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

Add '43' to each side of the equation.
-43 + 43 + 8y2 = 0 + 43

Combine like terms: -43 + 43 = 0
0 + 8y2 = 0 + 43
8y2 = 0 + 43

Combine like terms: 0 + 43 = 43
8y2 = 43

Divide each side by '8'.
y2 = 5.375

Simplifying
y2 = 5.375

Take the square root of each side:
y = {-2.318404624, 2.318404624}