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Simplifying 3(4y + 9) = 7(2 + -5y) + -2y Reorder the terms: 3(9 + 4y) = 7(2 + -5y) + -2y (9 * 3 + 4y * 3) = 7(2 + -5y) + -2y (27 + 12y) = 7(2 + -5y) + -2y 27 + 12y = (2 * 7 + -5y * 7) + -2y 27 + 12y = (14 + -35y) + -2y Combine like terms: -35y + -2y = -37y 27 + 12y = 14 + -37y Solving 27 + 12y = 14 + -37y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '37y' to each side of the equation. 27 + 12y + 37y = 14 + -37y + 37y Combine like terms: 12y + 37y = 49y 27 + 49y = 14 + -37y + 37y Combine like terms: -37y + 37y = 0 27 + 49y = 14 + 0 27 + 49y = 14 Add '-27' to each side of the equation. 27 + -27 + 49y = 14 + -27 Combine like terms: 27 + -27 = 0 0 + 49y = 14 + -27 49y = 14 + -27 Combine like terms: 14 + -27 = -13 49y = -13 Divide each side by '49'. y = -0.2653061224 Simplifying y = -0.2653061224
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