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Simplifying -5y + 3(1y + -9) = -1 + 8(2 + -1y) Reorder the terms: -5y + 3(-9 + 1y) = -1 + 8(2 + -1y) -5y + (-9 * 3 + 1y * 3) = -1 + 8(2 + -1y) -5y + (-27 + 3y) = -1 + 8(2 + -1y) Reorder the terms: -27 + -5y + 3y = -1 + 8(2 + -1y) Combine like terms: -5y + 3y = -2y -27 + -2y = -1 + 8(2 + -1y) -27 + -2y = -1 + (2 * 8 + -1y * 8) -27 + -2y = -1 + (16 + -8y) Combine like terms: -1 + 16 = 15 -27 + -2y = 15 + -8y Solving -27 + -2y = 15 + -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. -27 + -2y + 8y = 15 + -8y + 8y Combine like terms: -2y + 8y = 6y -27 + 6y = 15 + -8y + 8y Combine like terms: -8y + 8y = 0 -27 + 6y = 15 + 0 -27 + 6y = 15 Add '27' to each side of the equation. -27 + 27 + 6y = 15 + 27 Combine like terms: -27 + 27 = 0 0 + 6y = 15 + 27 6y = 15 + 27 Combine like terms: 15 + 27 = 42 6y = 42 Divide each side by '6'. y = 7 Simplifying y = 7
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