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