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Simplifying -4y + 8(-4y + 5) = 2 + 8(9 + -1y) Reorder the terms: -4y + 8(5 + -4y) = 2 + 8(9 + -1y) -4y + (5 * 8 + -4y * 8) = 2 + 8(9 + -1y) -4y + (40 + -32y) = 2 + 8(9 + -1y) Reorder the terms: 40 + -4y + -32y = 2 + 8(9 + -1y) Combine like terms: -4y + -32y = -36y 40 + -36y = 2 + 8(9 + -1y) 40 + -36y = 2 + (9 * 8 + -1y * 8) 40 + -36y = 2 + (72 + -8y) Combine like terms: 2 + 72 = 74 40 + -36y = 74 + -8y Solving 40 + -36y = 74 + -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. 40 + -36y + 8y = 74 + -8y + 8y Combine like terms: -36y + 8y = -28y 40 + -28y = 74 + -8y + 8y Combine like terms: -8y + 8y = 0 40 + -28y = 74 + 0 40 + -28y = 74 Add '-40' to each side of the equation. 40 + -40 + -28y = 74 + -40 Combine like terms: 40 + -40 = 0 0 + -28y = 74 + -40 -28y = 74 + -40 Combine like terms: 74 + -40 = 34 -28y = 34 Divide each side by '-28'. y = -1.214285714 Simplifying y = -1.214285714
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