96=3y^2+15

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Solution for 96=3y^2+15 equation:


Simplifying
96 = 3y2 + 15

Reorder the terms:
96 = 15 + 3y2

Solving
96 = 15 + 3y2

Solving for variable 'y'.

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

Add '-3y2' to each side of the equation.
96 + -3y2 = 15 + 3y2 + -3y2

Combine like terms: 3y2 + -3y2 = 0
96 + -3y2 = 15 + 0
96 + -3y2 = 15

Add '-96' to each side of the equation.
96 + -96 + -3y2 = 15 + -96

Combine like terms: 96 + -96 = 0
0 + -3y2 = 15 + -96
-3y2 = 15 + -96

Combine like terms: 15 + -96 = -81
-3y2 = -81

Divide each side by '-3'.
y2 = 27

Simplifying
y2 = 27

Take the square root of each side:
y = {-5.196152423, 5.196152423}

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