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Simplifying 9 + -1(-1 + -3y) = 4 + y + -1(3 + -1y) 9 + (-1 * -1 + -3y * -1) = 4 + y + -1(3 + -1y) 9 + (1 + 3y) = 4 + y + -1(3 + -1y) Combine like terms: 9 + 1 = 10 10 + 3y = 4 + y + -1(3 + -1y) 10 + 3y = 4 + y + (3 * -1 + -1y * -1) 10 + 3y = 4 + y + (-3 + 1y) Reorder the terms: 10 + 3y = 4 + -3 + y + 1y Combine like terms: 4 + -3 = 1 10 + 3y = 1 + y + 1y Combine like terms: y + 1y = 2y 10 + 3y = 1 + 2y Solving 10 + 3y = 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. 10 + 3y + -2y = 1 + 2y + -2y Combine like terms: 3y + -2y = 1y 10 + 1y = 1 + 2y + -2y Combine like terms: 2y + -2y = 0 10 + 1y = 1 + 0 10 + 1y = 1 Add '-10' to each side of the equation. 10 + -10 + 1y = 1 + -10 Combine like terms: 10 + -10 = 0 0 + 1y = 1 + -10 1y = 1 + -10 Combine like terms: 1 + -10 = -9 1y = -9 Divide each side by '1'. y = -9 Simplifying y = -9
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