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Simplifying 6(4y + 1) + -1 = 5(6y + 3) + -19 Reorder the terms: 6(1 + 4y) + -1 = 5(6y + 3) + -19 (1 * 6 + 4y * 6) + -1 = 5(6y + 3) + -19 (6 + 24y) + -1 = 5(6y + 3) + -19 Reorder the terms: 6 + -1 + 24y = 5(6y + 3) + -19 Combine like terms: 6 + -1 = 5 5 + 24y = 5(6y + 3) + -19 Reorder the terms: 5 + 24y = 5(3 + 6y) + -19 5 + 24y = (3 * 5 + 6y * 5) + -19 5 + 24y = (15 + 30y) + -19 Reorder the terms: 5 + 24y = 15 + -19 + 30y Combine like terms: 15 + -19 = -4 5 + 24y = -4 + 30y Solving 5 + 24y = -4 + 30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-30y' to each side of the equation. 5 + 24y + -30y = -4 + 30y + -30y Combine like terms: 24y + -30y = -6y 5 + -6y = -4 + 30y + -30y Combine like terms: 30y + -30y = 0 5 + -6y = -4 + 0 5 + -6y = -4 Add '-5' to each side of the equation. 5 + -5 + -6y = -4 + -5 Combine like terms: 5 + -5 = 0 0 + -6y = -4 + -5 -6y = -4 + -5 Combine like terms: -4 + -5 = -9 -6y = -9 Divide each side by '-6'. y = 1.5 Simplifying y = 1.5
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