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Simplifying 3(3y + 4) = 54 + 6y Reorder the terms: 3(4 + 3y) = 54 + 6y (4 * 3 + 3y * 3) = 54 + 6y (12 + 9y) = 54 + 6y Solving 12 + 9y = 54 + 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. 12 + 9y + -6y = 54 + 6y + -6y Combine like terms: 9y + -6y = 3y 12 + 3y = 54 + 6y + -6y Combine like terms: 6y + -6y = 0 12 + 3y = 54 + 0 12 + 3y = 54 Add '-12' to each side of the equation. 12 + -12 + 3y = 54 + -12 Combine like terms: 12 + -12 = 0 0 + 3y = 54 + -12 3y = 54 + -12 Combine like terms: 54 + -12 = 42 3y = 42 Divide each side by '3'. y = 14 Simplifying y = 14
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