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Simplifying 9 + y = 14 + -2(y + 1) Reorder the terms: 9 + y = 14 + -2(1 + y) 9 + y = 14 + (1 * -2 + y * -2) 9 + y = 14 + (-2 + -2y) Combine like terms: 14 + -2 = 12 9 + y = 12 + -2y Solving 9 + y = 12 + -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. 9 + y + 2y = 12 + -2y + 2y Combine like terms: y + 2y = 3y 9 + 3y = 12 + -2y + 2y Combine like terms: -2y + 2y = 0 9 + 3y = 12 + 0 9 + 3y = 12 Add '-9' to each side of the equation. 9 + -9 + 3y = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 3y = 12 + -9 3y = 12 + -9 Combine like terms: 12 + -9 = 3 3y = 3 Divide each side by '3'. y = 1 Simplifying y = 1
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