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Simplifying 9(y + 3) + 2 = 2y + 1 Reorder the terms: 9(3 + y) + 2 = 2y + 1 (3 * 9 + y * 9) + 2 = 2y + 1 (27 + 9y) + 2 = 2y + 1 Reorder the terms: 27 + 2 + 9y = 2y + 1 Combine like terms: 27 + 2 = 29 29 + 9y = 2y + 1 Reorder the terms: 29 + 9y = 1 + 2y Solving 29 + 9y = 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. 29 + 9y + -2y = 1 + 2y + -2y Combine like terms: 9y + -2y = 7y 29 + 7y = 1 + 2y + -2y Combine like terms: 2y + -2y = 0 29 + 7y = 1 + 0 29 + 7y = 1 Add '-29' to each side of the equation. 29 + -29 + 7y = 1 + -29 Combine like terms: 29 + -29 = 0 0 + 7y = 1 + -29 7y = 1 + -29 Combine like terms: 1 + -29 = -28 7y = -28 Divide each side by '7'. y = -4 Simplifying y = -4
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