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Simplifying 7(5y + -4) + 2(3y + 6) = 0 Reorder the terms: 7(-4 + 5y) + 2(3y + 6) = 0 (-4 * 7 + 5y * 7) + 2(3y + 6) = 0 (-28 + 35y) + 2(3y + 6) = 0 Reorder the terms: -28 + 35y + 2(6 + 3y) = 0 -28 + 35y + (6 * 2 + 3y * 2) = 0 -28 + 35y + (12 + 6y) = 0 Reorder the terms: -28 + 12 + 35y + 6y = 0 Combine like terms: -28 + 12 = -16 -16 + 35y + 6y = 0 Combine like terms: 35y + 6y = 41y -16 + 41y = 0 Solving -16 + 41y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 41y = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 41y = 0 + 16 41y = 0 + 16 Combine like terms: 0 + 16 = 16 41y = 16 Divide each side by '41'. y = 0.3902439024 Simplifying y = 0.3902439024
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