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Simplifying -6y + -6(6y + 1) = 8 + 9(-1 + -1y) Reorder the terms: -6y + -6(1 + 6y) = 8 + 9(-1 + -1y) -6y + (1 * -6 + 6y * -6) = 8 + 9(-1 + -1y) -6y + (-6 + -36y) = 8 + 9(-1 + -1y) Reorder the terms: -6 + -6y + -36y = 8 + 9(-1 + -1y) Combine like terms: -6y + -36y = -42y -6 + -42y = 8 + 9(-1 + -1y) -6 + -42y = 8 + (-1 * 9 + -1y * 9) -6 + -42y = 8 + (-9 + -9y) Combine like terms: 8 + -9 = -1 -6 + -42y = -1 + -9y Solving -6 + -42y = -1 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. -6 + -42y + 9y = -1 + -9y + 9y Combine like terms: -42y + 9y = -33y -6 + -33y = -1 + -9y + 9y Combine like terms: -9y + 9y = 0 -6 + -33y = -1 + 0 -6 + -33y = -1 Add '6' to each side of the equation. -6 + 6 + -33y = -1 + 6 Combine like terms: -6 + 6 = 0 0 + -33y = -1 + 6 -33y = -1 + 6 Combine like terms: -1 + 6 = 5 -33y = 5 Divide each side by '-33'. y = -0.1515151515 Simplifying y = -0.1515151515
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