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Simplifying 6(3y + 9) = 12y Reorder the terms: 6(9 + 3y) = 12y (9 * 6 + 3y * 6) = 12y (54 + 18y) = 12y Solving 54 + 18y = 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 54 + 18y + -12y = 12y + -12y Combine like terms: 18y + -12y = 6y 54 + 6y = 12y + -12y Combine like terms: 12y + -12y = 0 54 + 6y = 0 Add '-54' to each side of the equation. 54 + -54 + 6y = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 6y = 0 + -54 6y = 0 + -54 Combine like terms: 0 + -54 = -54 6y = -54 Divide each side by '6'. y = -9 Simplifying y = -9
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