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Simplifying (8n + -6)(4n + 3) = y Reorder the terms: (-6 + 8n)(4n + 3) = y Reorder the terms: (-6 + 8n)(3 + 4n) = y Multiply (-6 + 8n) * (3 + 4n) (-6(3 + 4n) + 8n * (3 + 4n)) = y ((3 * -6 + 4n * -6) + 8n * (3 + 4n)) = y ((-18 + -24n) + 8n * (3 + 4n)) = y (-18 + -24n + (3 * 8n + 4n * 8n)) = y (-18 + -24n + (24n + 32n2)) = y Combine like terms: -24n + 24n = 0 (-18 + 0 + 32n2) = y (-18 + 32n2) = y Solving -18 + 32n2 = y Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 32n2 = 18 + y Combine like terms: -18 + 18 = 0 0 + 32n2 = 18 + y 32n2 = 18 + y Divide each side by '32'. n2 = 0.5625 + 0.03125y Simplifying n2 = 0.5625 + 0.03125y Reorder the terms: -0.5625 + n2 + -0.03125y = 0.5625 + 0.03125y + -0.5625 + -0.03125y Reorder the terms: -0.5625 + n2 + -0.03125y = 0.5625 + -0.5625 + 0.03125y + -0.03125y Combine like terms: 0.5625 + -0.5625 = 0.0000 -0.5625 + n2 + -0.03125y = 0.0000 + 0.03125y + -0.03125y -0.5625 + n2 + -0.03125y = 0.03125y + -0.03125y Combine like terms: 0.03125y + -0.03125y = 0.00000 -0.5625 + n2 + -0.03125y = 0.00000 The solution to this equation could not be determined.
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