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Simplifying 6(y + 6) = 78 Reorder the terms: 6(6 + y) = 78 (6 * 6 + y * 6) = 78 (36 + 6y) = 78 Solving 36 + 6y = 78 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 6y = 78 + -36 Combine like terms: 36 + -36 = 0 0 + 6y = 78 + -36 6y = 78 + -36 Combine like terms: 78 + -36 = 42 6y = 42 Divide each side by '6'. y = 7 Simplifying y = 7
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