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Simplifying 5 + 8(3y + 1) = 2(-4y + -9) + -4 Reorder the terms: 5 + 8(1 + 3y) = 2(-4y + -9) + -4 5 + (1 * 8 + 3y * 8) = 2(-4y + -9) + -4 5 + (8 + 24y) = 2(-4y + -9) + -4 Combine like terms: 5 + 8 = 13 13 + 24y = 2(-4y + -9) + -4 Reorder the terms: 13 + 24y = 2(-9 + -4y) + -4 13 + 24y = (-9 * 2 + -4y * 2) + -4 13 + 24y = (-18 + -8y) + -4 Reorder the terms: 13 + 24y = -18 + -4 + -8y Combine like terms: -18 + -4 = -22 13 + 24y = -22 + -8y Solving 13 + 24y = -22 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 13 + 24y + 8y = -22 + -8y + 8y Combine like terms: 24y + 8y = 32y 13 + 32y = -22 + -8y + 8y Combine like terms: -8y + 8y = 0 13 + 32y = -22 + 0 13 + 32y = -22 Add '-13' to each side of the equation. 13 + -13 + 32y = -22 + -13 Combine like terms: 13 + -13 = 0 0 + 32y = -22 + -13 32y = -22 + -13 Combine like terms: -22 + -13 = -35 32y = -35 Divide each side by '32'. y = -1.09375 Simplifying y = -1.09375
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