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Simplifying 9[y + 3] + 3 = 2y + 23 Reorder the terms: 9[3 + y] + 3 = 2y + 23 [3 * 9 + y * 9] + 3 = 2y + 23 [27 + 9y] + 3 = 2y + 23 Reorder the terms: 27 + 3 + 9y = 2y + 23 Combine like terms: 27 + 3 = 30 30 + 9y = 2y + 23 Reorder the terms: 30 + 9y = 23 + 2y Solving 30 + 9y = 23 + 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. 30 + 9y + -2y = 23 + 2y + -2y Combine like terms: 9y + -2y = 7y 30 + 7y = 23 + 2y + -2y Combine like terms: 2y + -2y = 0 30 + 7y = 23 + 0 30 + 7y = 23 Add '-30' to each side of the equation. 30 + -30 + 7y = 23 + -30 Combine like terms: 30 + -30 = 0 0 + 7y = 23 + -30 7y = 23 + -30 Combine like terms: 23 + -30 = -7 7y = -7 Divide each side by '7'. y = -1 Simplifying y = -1
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