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Simplifying (4y + -7)(16y2 + 28y + 49) = 0 Reorder the terms: (-7 + 4y)(16y2 + 28y + 49) = 0 Reorder the terms: (-7 + 4y)(49 + 28y + 16y2) = 0 Multiply (-7 + 4y) * (49 + 28y + 16y2) (-7(49 + 28y + 16y2) + 4y * (49 + 28y + 16y2)) = 0 ((49 * -7 + 28y * -7 + 16y2 * -7) + 4y * (49 + 28y + 16y2)) = 0 ((-343 + -196y + -112y2) + 4y * (49 + 28y + 16y2)) = 0 (-343 + -196y + -112y2 + (49 * 4y + 28y * 4y + 16y2 * 4y)) = 0 (-343 + -196y + -112y2 + (196y + 112y2 + 64y3)) = 0 Reorder the terms: (-343 + -196y + 196y + -112y2 + 112y2 + 64y3) = 0 Combine like terms: -196y + 196y = 0 (-343 + 0 + -112y2 + 112y2 + 64y3) = 0 (-343 + -112y2 + 112y2 + 64y3) = 0 Combine like terms: -112y2 + 112y2 = 0 (-343 + 0 + 64y3) = 0 (-343 + 64y3) = 0 Solving -343 + 64y3 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '343' to each side of the equation. -343 + 343 + 64y3 = 0 + 343 Combine like terms: -343 + 343 = 0 0 + 64y3 = 0 + 343 64y3 = 0 + 343 Combine like terms: 0 + 343 = 343 64y3 = 343 Divide each side by '64'. y3 = 5.359375 Simplifying y3 = 5.359375 Reorder the terms: -5.359375 + y3 = 5.359375 + -5.359375 Combine like terms: 5.359375 + -5.359375 = 0.000000 -5.359375 + y3 = 0.000000 The solution to this equation could not be determined.
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