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Simplifying 3[2y + -9 + 6(5y + -1)] = 13(4y + 27) Reorder the terms: 3[2y + -9 + 6(-1 + 5y)] = 13(4y + 27) 3[2y + -9 + (-1 * 6 + 5y * 6)] = 13(4y + 27) 3[2y + -9 + (-6 + 30y)] = 13(4y + 27) Reorder the terms: 3[-9 + -6 + 2y + 30y] = 13(4y + 27) Combine like terms: -9 + -6 = -15 3[-15 + 2y + 30y] = 13(4y + 27) Combine like terms: 2y + 30y = 32y 3[-15 + 32y] = 13(4y + 27) [-15 * 3 + 32y * 3] = 13(4y + 27) [-45 + 96y] = 13(4y + 27) Reorder the terms: -45 + 96y = 13(27 + 4y) -45 + 96y = (27 * 13 + 4y * 13) -45 + 96y = (351 + 52y) Solving -45 + 96y = 351 + 52y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-52y' to each side of the equation. -45 + 96y + -52y = 351 + 52y + -52y Combine like terms: 96y + -52y = 44y -45 + 44y = 351 + 52y + -52y Combine like terms: 52y + -52y = 0 -45 + 44y = 351 + 0 -45 + 44y = 351 Add '45' to each side of the equation. -45 + 45 + 44y = 351 + 45 Combine like terms: -45 + 45 = 0 0 + 44y = 351 + 45 44y = 351 + 45 Combine like terms: 351 + 45 = 396 44y = 396 Divide each side by '44'. y = 9 Simplifying y = 9
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