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Simplifying 3(y + 9) = 12y + 13 Reorder the terms: 3(9 + y) = 12y + 13 (9 * 3 + y * 3) = 12y + 13 (27 + 3y) = 12y + 13 Reorder the terms: 27 + 3y = 13 + 12y Solving 27 + 3y = 13 + 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. 27 + 3y + -12y = 13 + 12y + -12y Combine like terms: 3y + -12y = -9y 27 + -9y = 13 + 12y + -12y Combine like terms: 12y + -12y = 0 27 + -9y = 13 + 0 27 + -9y = 13 Add '-27' to each side of the equation. 27 + -27 + -9y = 13 + -27 Combine like terms: 27 + -27 = 0 0 + -9y = 13 + -27 -9y = 13 + -27 Combine like terms: 13 + -27 = -14 -9y = -14 Divide each side by '-9'. y = 1.555555556 Simplifying y = 1.555555556
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