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Simplifying 9 + -1(1 + -3y) = 2y + 1 9 + (1 * -1 + -3y * -1) = 2y + 1 9 + (-1 + 3y) = 2y + 1 Combine like terms: 9 + -1 = 8 8 + 3y = 2y + 1 Reorder the terms: 8 + 3y = 1 + 2y Solving 8 + 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. 8 + 3y + -2y = 1 + 2y + -2y Combine like terms: 3y + -2y = 1y 8 + 1y = 1 + 2y + -2y Combine like terms: 2y + -2y = 0 8 + 1y = 1 + 0 8 + 1y = 1 Add '-8' to each side of the equation. 8 + -8 + 1y = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 1y = 1 + -8 1y = 1 + -8 Combine like terms: 1 + -8 = -7 1y = -7 Divide each side by '1'. y = -7 Simplifying y = -7
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