5y^2-43+24=0

Solution for 5y^2-43+24=0 equation:

Simplifying
5y2 + -43 + 24 = 0

Reorder the terms:
-43 + 24 + 5y2 = 0

Combine like terms: -43 + 24 = -19
-19 + 5y2 = 0

Solving
-19 + 5y2 = 0

Solving for variable 'y'.

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

Add '19' to each side of the equation.
-19 + 19 + 5y2 = 0 + 19

Combine like terms: -19 + 19 = 0
0 + 5y2 = 0 + 19
5y2 = 0 + 19

Combine like terms: 0 + 19 = 19
5y2 = 19

Divide each side by '5'.
y2 = 3.8

Simplifying
y2 = 3.8

Take the square root of each side:
y = {-1.949358869, 1.949358869}