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Simplifying 6(y + 5) + 5 = 83 Reorder the terms: 6(5 + y) + 5 = 83 (5 * 6 + y * 6) + 5 = 83 (30 + 6y) + 5 = 83 Reorder the terms: 30 + 5 + 6y = 83 Combine like terms: 30 + 5 = 35 35 + 6y = 83 Solving 35 + 6y = 83 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 6y = 83 + -35 Combine like terms: 35 + -35 = 0 0 + 6y = 83 + -35 6y = 83 + -35 Combine like terms: 83 + -35 = 48 6y = 48 Divide each side by '6'. y = 8 Simplifying y = 8
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