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Simplifying 9(y + 5) = y + 2 Reorder the terms: 9(5 + y) = y + 2 (5 * 9 + y * 9) = y + 2 (45 + 9y) = y + 2 Reorder the terms: 45 + 9y = 2 + y Solving 45 + 9y = 2 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 45 + 9y + -1y = 2 + y + -1y Combine like terms: 9y + -1y = 8y 45 + 8y = 2 + y + -1y Combine like terms: y + -1y = 0 45 + 8y = 2 + 0 45 + 8y = 2 Add '-45' to each side of the equation. 45 + -45 + 8y = 2 + -45 Combine like terms: 45 + -45 = 0 0 + 8y = 2 + -45 8y = 2 + -45 Combine like terms: 2 + -45 = -43 8y = -43 Divide each side by '8'. y = -5.375 Simplifying y = -5.375
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