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Simplifying 5(3y + 1) + 3 = 6(4y + 3) + 13 Reorder the terms: 5(1 + 3y) + 3 = 6(4y + 3) + 13 (1 * 5 + 3y * 5) + 3 = 6(4y + 3) + 13 (5 + 15y) + 3 = 6(4y + 3) + 13 Reorder the terms: 5 + 3 + 15y = 6(4y + 3) + 13 Combine like terms: 5 + 3 = 8 8 + 15y = 6(4y + 3) + 13 Reorder the terms: 8 + 15y = 6(3 + 4y) + 13 8 + 15y = (3 * 6 + 4y * 6) + 13 8 + 15y = (18 + 24y) + 13 Reorder the terms: 8 + 15y = 18 + 13 + 24y Combine like terms: 18 + 13 = 31 8 + 15y = 31 + 24y Solving 8 + 15y = 31 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. 8 + 15y + -24y = 31 + 24y + -24y Combine like terms: 15y + -24y = -9y 8 + -9y = 31 + 24y + -24y Combine like terms: 24y + -24y = 0 8 + -9y = 31 + 0 8 + -9y = 31 Add '-8' to each side of the equation. 8 + -8 + -9y = 31 + -8 Combine like terms: 8 + -8 = 0 0 + -9y = 31 + -8 -9y = 31 + -8 Combine like terms: 31 + -8 = 23 -9y = 23 Divide each side by '-9'. y = -2.555555556 Simplifying y = -2.555555556
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