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Simplifying -3y + -6(-8y + 1) = 5 + 8(8 + -1y) Reorder the terms: -3y + -6(1 + -8y) = 5 + 8(8 + -1y) -3y + (1 * -6 + -8y * -6) = 5 + 8(8 + -1y) -3y + (-6 + 48y) = 5 + 8(8 + -1y) Reorder the terms: -6 + -3y + 48y = 5 + 8(8 + -1y) Combine like terms: -3y + 48y = 45y -6 + 45y = 5 + 8(8 + -1y) -6 + 45y = 5 + (8 * 8 + -1y * 8) -6 + 45y = 5 + (64 + -8y) Combine like terms: 5 + 64 = 69 -6 + 45y = 69 + -8y Solving -6 + 45y = 69 + -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. -6 + 45y + 8y = 69 + -8y + 8y Combine like terms: 45y + 8y = 53y -6 + 53y = 69 + -8y + 8y Combine like terms: -8y + 8y = 0 -6 + 53y = 69 + 0 -6 + 53y = 69 Add '6' to each side of the equation. -6 + 6 + 53y = 69 + 6 Combine like terms: -6 + 6 = 0 0 + 53y = 69 + 6 53y = 69 + 6 Combine like terms: 69 + 6 = 75 53y = 75 Divide each side by '53'. y = 1.41509434 Simplifying y = 1.41509434
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