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Simplifying
96 = 3y2 + 12
Reorder the terms:
96 = 12 + 3y2
Solving
96 = 12 + 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 = 12 + 3y2 + -3y2
Combine like terms: 3y2 + -3y2 = 0
96 + -3y2 = 12 + 0
96 + -3y2 = 12
Add '-96' to each side of the equation.
96 + -96 + -3y2 = 12 + -96
Combine like terms: 96 + -96 = 0
0 + -3y2 = 12 + -96
-3y2 = 12 + -96
Combine like terms: 12 + -96 = -84
-3y2 = -84
Divide each side by '-3'.
y2 = 28
Simplifying
y2 = 28
Take the square root of each side:
y = {-5.291502622, 5.291502622}
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