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Simplifying (3y + -8)(3y + 8) = 0 Reorder the terms: (-8 + 3y)(3y + 8) = 0 Reorder the terms: (-8 + 3y)(8 + 3y) = 0 Multiply (-8 + 3y) * (8 + 3y) (-8(8 + 3y) + 3y * (8 + 3y)) = 0 ((8 * -8 + 3y * -8) + 3y * (8 + 3y)) = 0 ((-64 + -24y) + 3y * (8 + 3y)) = 0 (-64 + -24y + (8 * 3y + 3y * 3y)) = 0 (-64 + -24y + (24y + 9y2)) = 0 Combine like terms: -24y + 24y = 0 (-64 + 0 + 9y2) = 0 (-64 + 9y2) = 0 Solving -64 + 9y2 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + 9y2 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + 9y2 = 0 + 64 9y2 = 0 + 64 Combine like terms: 0 + 64 = 64 9y2 = 64 Divide each side by '9'. y2 = 7.111111111 Simplifying y2 = 7.111111111 Take the square root of each side: y = {-2.666666667, 2.666666667}
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