3y^2+14-24=0

Solution for 3y^2+14-24=0 equation:

Simplifying
3y2 + 14 + -24 = 0

Reorder the terms:
14 + -24 + 3y2 = 0

Combine like terms: 14 + -24 = -10
-10 + 3y2 = 0

Solving
-10 + 3y2 = 0

Solving for variable 'y'.

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

Add '10' to each side of the equation.
-10 + 10 + 3y2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 3y2 = 0 + 10
3y2 = 0 + 10

Combine like terms: 0 + 10 = 10
3y2 = 10

Divide each side by '3'.
y2 = 3.333333333

Simplifying
y2 = 3.333333333

Take the square root of each side:
y = {-1.825741858, 1.825741858}