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Simplifying 7(y + 6) = 6y + 44 Reorder the terms: 7(6 + y) = 6y + 44 (6 * 7 + y * 7) = 6y + 44 (42 + 7y) = 6y + 44 Reorder the terms: 42 + 7y = 44 + 6y Solving 42 + 7y = 44 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 42 + 7y + -6y = 44 + 6y + -6y Combine like terms: 7y + -6y = 1y 42 + 1y = 44 + 6y + -6y Combine like terms: 6y + -6y = 0 42 + 1y = 44 + 0 42 + 1y = 44 Add '-42' to each side of the equation. 42 + -42 + 1y = 44 + -42 Combine like terms: 42 + -42 = 0 0 + 1y = 44 + -42 1y = 44 + -42 Combine like terms: 44 + -42 = 2 1y = 2 Divide each side by '1'. y = 2 Simplifying y = 2
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