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Simplifying 30(y + 2) = 5(y + 6) Reorder the terms: 30(2 + y) = 5(y + 6) (2 * 30 + y * 30) = 5(y + 6) (60 + 30y) = 5(y + 6) Reorder the terms: 60 + 30y = 5(6 + y) 60 + 30y = (6 * 5 + y * 5) 60 + 30y = (30 + 5y) Solving 60 + 30y = 30 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 60 + 30y + -5y = 30 + 5y + -5y Combine like terms: 30y + -5y = 25y 60 + 25y = 30 + 5y + -5y Combine like terms: 5y + -5y = 0 60 + 25y = 30 + 0 60 + 25y = 30 Add '-60' to each side of the equation. 60 + -60 + 25y = 30 + -60 Combine like terms: 60 + -60 = 0 0 + 25y = 30 + -60 25y = 30 + -60 Combine like terms: 30 + -60 = -30 25y = -30 Divide each side by '25'. y = -1.2 Simplifying y = -1.2
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