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Simplifying -2(1 + -1y) + -3(5 + -2y) = 9 (1 * -2 + -1y * -2) + -3(5 + -2y) = 9 (-2 + 2y) + -3(5 + -2y) = 9 -2 + 2y + (5 * -3 + -2y * -3) = 9 -2 + 2y + (-15 + 6y) = 9 Reorder the terms: -2 + -15 + 2y + 6y = 9 Combine like terms: -2 + -15 = -17 -17 + 2y + 6y = 9 Combine like terms: 2y + 6y = 8y -17 + 8y = 9 Solving -17 + 8y = 9 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 8y = 9 + 17 Combine like terms: -17 + 17 = 0 0 + 8y = 9 + 17 8y = 9 + 17 Combine like terms: 9 + 17 = 26 8y = 26 Divide each side by '8'. y = 3.25 Simplifying y = 3.25
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