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Simplifying 3(y + 2) + 6y = 51 Reorder the terms: 3(2 + y) + 6y = 51 (2 * 3 + y * 3) + 6y = 51 (6 + 3y) + 6y = 51 Combine like terms: 3y + 6y = 9y 6 + 9y = 51 Solving 6 + 9y = 51 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 9y = 51 + -6 Combine like terms: 6 + -6 = 0 0 + 9y = 51 + -6 9y = 51 + -6 Combine like terms: 51 + -6 = 45 9y = 45 Divide each side by '9'. y = 5 Simplifying y = 5
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