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Simplifying 9y + -5(2y + -3) = 1 + -2y Reorder the terms: 9y + -5(-3 + 2y) = 1 + -2y 9y + (-3 * -5 + 2y * -5) = 1 + -2y 9y + (15 + -10y) = 1 + -2y Reorder the terms: 15 + 9y + -10y = 1 + -2y Combine like terms: 9y + -10y = -1y 15 + -1y = 1 + -2y Solving 15 + -1y = 1 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 15 + -1y + 2y = 1 + -2y + 2y Combine like terms: -1y + 2y = 1y 15 + 1y = 1 + -2y + 2y Combine like terms: -2y + 2y = 0 15 + 1y = 1 + 0 15 + 1y = 1 Add '-15' to each side of the equation. 15 + -15 + 1y = 1 + -15 Combine like terms: 15 + -15 = 0 0 + 1y = 1 + -15 1y = 1 + -15 Combine like terms: 1 + -15 = -14 1y = -14 Divide each side by '1'. y = -14 Simplifying y = -14
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