10y^2-6=43

Solution for 10y^2-6=43 equation:

Simplifying
10y2 + -6 = 43

Reorder the terms:
-6 + 10y2 = 43

Solving
-6 + 10y2 = 43

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 + 10y2 = 43 + 6

Combine like terms: -6 + 6 = 0
0 + 10y2 = 43 + 6
10y2 = 43 + 6

Combine like terms: 43 + 6 = 49
10y2 = 49

Divide each side by '10'.
y2 = 4.9

Simplifying
y2 = 4.9

Take the square root of each side:
y = {-2.213594362, 2.213594362}