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Simplifying
(3y)(3y) + -1y2 = 16
Remove parenthesis around (3y)
3y(3y) + -1y2 = 16
Remove parenthesis around (3y)
3y * 3y + -1y2 = 16
Reorder the terms for easier multiplication:
3 * 3y * y + -1y2 = 16
Multiply 3 * 3
9y * y + -1y2 = 16
Multiply y * y
9y2 + -1y2 = 16
Combine like terms: 9y2 + -1y2 = 8y2
8y2 = 16
Solving
8y2 = 16
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Divide each side by '8'.
y2 = 2
Simplifying
y2 = 2
Take the square root of each side:
y = {-1.414213562, 1.414213562}
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