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Simplifying 5(y + 7) + -14 = 46 Reorder the terms: 5(7 + y) + -14 = 46 (7 * 5 + y * 5) + -14 = 46 (35 + 5y) + -14 = 46 Reorder the terms: 35 + -14 + 5y = 46 Combine like terms: 35 + -14 = 21 21 + 5y = 46 Solving 21 + 5y = 46 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 5y = 46 + -21 Combine like terms: 21 + -21 = 0 0 + 5y = 46 + -21 5y = 46 + -21 Combine like terms: 46 + -21 = 25 5y = 25 Divide each side by '5'. y = 5 Simplifying y = 5
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