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Simplifying 6(2y + -5) = (4y + 3) * 9 Reorder the terms: 6(-5 + 2y) = (4y + 3) * 9 (-5 * 6 + 2y * 6) = (4y + 3) * 9 (-30 + 12y) = (4y + 3) * 9 Reorder the terms: -30 + 12y = (3 + 4y) * 9 Reorder the terms for easier multiplication: -30 + 12y = 9(3 + 4y) -30 + 12y = (3 * 9 + 4y * 9) -30 + 12y = (27 + 36y) Solving -30 + 12y = 27 + 36y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-36y' to each side of the equation. -30 + 12y + -36y = 27 + 36y + -36y Combine like terms: 12y + -36y = -24y -30 + -24y = 27 + 36y + -36y Combine like terms: 36y + -36y = 0 -30 + -24y = 27 + 0 -30 + -24y = 27 Add '30' to each side of the equation. -30 + 30 + -24y = 27 + 30 Combine like terms: -30 + 30 = 0 0 + -24y = 27 + 30 -24y = 27 + 30 Combine like terms: 27 + 30 = 57 -24y = 57 Divide each side by '-24'. y = -2.375 Simplifying y = -2.375
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