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Simplifying -3(2y + -5) + 7(y + -2) = 9 + -9 Reorder the terms: -3(-5 + 2y) + 7(y + -2) = 9 + -9 (-5 * -3 + 2y * -3) + 7(y + -2) = 9 + -9 (15 + -6y) + 7(y + -2) = 9 + -9 Reorder the terms: 15 + -6y + 7(-2 + y) = 9 + -9 15 + -6y + (-2 * 7 + y * 7) = 9 + -9 15 + -6y + (-14 + 7y) = 9 + -9 Reorder the terms: 15 + -14 + -6y + 7y = 9 + -9 Combine like terms: 15 + -14 = 1 1 + -6y + 7y = 9 + -9 Combine like terms: -6y + 7y = 1y 1 + 1y = 9 + -9 Combine like terms: 9 + -9 = 0 1 + 1y = 0 Solving 1 + 1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1y = 0 + -1 1y = 0 + -1 Combine like terms: 0 + -1 = -1 1y = -1 Divide each side by '1'. y = -1 Simplifying y = -1
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