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Simplifying 7(5y + -6) + 2(4y + 6) = 0 Reorder the terms: 7(-6 + 5y) + 2(4y + 6) = 0 (-6 * 7 + 5y * 7) + 2(4y + 6) = 0 (-42 + 35y) + 2(4y + 6) = 0 Reorder the terms: -42 + 35y + 2(6 + 4y) = 0 -42 + 35y + (6 * 2 + 4y * 2) = 0 -42 + 35y + (12 + 8y) = 0 Reorder the terms: -42 + 12 + 35y + 8y = 0 Combine like terms: -42 + 12 = -30 -30 + 35y + 8y = 0 Combine like terms: 35y + 8y = 43y -30 + 43y = 0 Solving -30 + 43y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 43y = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 43y = 0 + 30 43y = 0 + 30 Combine like terms: 0 + 30 = 30 43y = 30 Divide each side by '43'. y = 0.6976744186 Simplifying y = 0.6976744186
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