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Simplifying (5y + -6) = 7(2 + -4y) Reorder the terms: (-6 + 5y) = 7(2 + -4y) Remove parenthesis around (-6 + 5y) -6 + 5y = 7(2 + -4y) -6 + 5y = (2 * 7 + -4y * 7) -6 + 5y = (14 + -28y) Solving -6 + 5y = 14 + -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. -6 + 5y + 28y = 14 + -28y + 28y Combine like terms: 5y + 28y = 33y -6 + 33y = 14 + -28y + 28y Combine like terms: -28y + 28y = 0 -6 + 33y = 14 + 0 -6 + 33y = 14 Add '6' to each side of the equation. -6 + 6 + 33y = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 33y = 14 + 6 33y = 14 + 6 Combine like terms: 14 + 6 = 20 33y = 20 Divide each side by '33'. y = 0.6060606061 Simplifying y = 0.6060606061
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