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Simplifying 7(5y + -6) + 3(4y + 5) = 0 Reorder the terms: 7(-6 + 5y) + 3(4y + 5) = 0 (-6 * 7 + 5y * 7) + 3(4y + 5) = 0 (-42 + 35y) + 3(4y + 5) = 0 Reorder the terms: -42 + 35y + 3(5 + 4y) = 0 -42 + 35y + (5 * 3 + 4y * 3) = 0 -42 + 35y + (15 + 12y) = 0 Reorder the terms: -42 + 15 + 35y + 12y = 0 Combine like terms: -42 + 15 = -27 -27 + 35y + 12y = 0 Combine like terms: 35y + 12y = 47y -27 + 47y = 0 Solving -27 + 47y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 47y = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 47y = 0 + 27 47y = 0 + 27 Combine like terms: 0 + 27 = 27 47y = 27 Divide each side by '47'. y = 0.5744680851 Simplifying y = 0.5744680851
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