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Simplifying
9y2 + -16 = 16
Reorder the terms:
-16 + 9y2 = 16
Solving
-16 + 9y2 = 16
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '16' to each side of the equation.
-16 + 16 + 9y2 = 16 + 16
Combine like terms: -16 + 16 = 0
0 + 9y2 = 16 + 16
9y2 = 16 + 16
Combine like terms: 16 + 16 = 32
9y2 = 32
Divide each side by '9'.
y2 = 3.555555556
Simplifying
y2 = 3.555555556
Take the square root of each side:
y = {-1.885618083, 1.885618083}
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