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Simplifying -3y + 9(8y + -4) = 9 + 8(-1 + -1y) Reorder the terms: -3y + 9(-4 + 8y) = 9 + 8(-1 + -1y) -3y + (-4 * 9 + 8y * 9) = 9 + 8(-1 + -1y) -3y + (-36 + 72y) = 9 + 8(-1 + -1y) Reorder the terms: -36 + -3y + 72y = 9 + 8(-1 + -1y) Combine like terms: -3y + 72y = 69y -36 + 69y = 9 + 8(-1 + -1y) -36 + 69y = 9 + (-1 * 8 + -1y * 8) -36 + 69y = 9 + (-8 + -8y) Combine like terms: 9 + -8 = 1 -36 + 69y = 1 + -8y Solving -36 + 69y = 1 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -36 + 69y + 8y = 1 + -8y + 8y Combine like terms: 69y + 8y = 77y -36 + 77y = 1 + -8y + 8y Combine like terms: -8y + 8y = 0 -36 + 77y = 1 + 0 -36 + 77y = 1 Add '36' to each side of the equation. -36 + 36 + 77y = 1 + 36 Combine like terms: -36 + 36 = 0 0 + 77y = 1 + 36 77y = 1 + 36 Combine like terms: 1 + 36 = 37 77y = 37 Divide each side by '77'. y = 0.4805194805 Simplifying y = 0.4805194805
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