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Simplifying 6(5y + 7) = 7(4y + 10) Reorder the terms: 6(7 + 5y) = 7(4y + 10) (7 * 6 + 5y * 6) = 7(4y + 10) (42 + 30y) = 7(4y + 10) Reorder the terms: 42 + 30y = 7(10 + 4y) 42 + 30y = (10 * 7 + 4y * 7) 42 + 30y = (70 + 28y) Solving 42 + 30y = 70 + 28y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-28y' to each side of the equation. 42 + 30y + -28y = 70 + 28y + -28y Combine like terms: 30y + -28y = 2y 42 + 2y = 70 + 28y + -28y Combine like terms: 28y + -28y = 0 42 + 2y = 70 + 0 42 + 2y = 70 Add '-42' to each side of the equation. 42 + -42 + 2y = 70 + -42 Combine like terms: 42 + -42 = 0 0 + 2y = 70 + -42 2y = 70 + -42 Combine like terms: 70 + -42 = 28 2y = 28 Divide each side by '2'. y = 14 Simplifying y = 14
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