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Simplifying 6 + -9(-1y + 4) = 6(8y + -1) + 3 Reorder the terms: 6 + -9(4 + -1y) = 6(8y + -1) + 3 6 + (4 * -9 + -1y * -9) = 6(8y + -1) + 3 6 + (-36 + 9y) = 6(8y + -1) + 3 Combine like terms: 6 + -36 = -30 -30 + 9y = 6(8y + -1) + 3 Reorder the terms: -30 + 9y = 6(-1 + 8y) + 3 -30 + 9y = (-1 * 6 + 8y * 6) + 3 -30 + 9y = (-6 + 48y) + 3 Reorder the terms: -30 + 9y = -6 + 3 + 48y Combine like terms: -6 + 3 = -3 -30 + 9y = -3 + 48y Solving -30 + 9y = -3 + 48y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-48y' to each side of the equation. -30 + 9y + -48y = -3 + 48y + -48y Combine like terms: 9y + -48y = -39y -30 + -39y = -3 + 48y + -48y Combine like terms: 48y + -48y = 0 -30 + -39y = -3 + 0 -30 + -39y = -3 Add '30' to each side of the equation. -30 + 30 + -39y = -3 + 30 Combine like terms: -30 + 30 = 0 0 + -39y = -3 + 30 -39y = -3 + 30 Combine like terms: -3 + 30 = 27 -39y = 27 Divide each side by '-39'. y = -0.6923076923 Simplifying y = -0.6923076923
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