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Simplifying 7(4y + -5) + 3(4y + 6) = 0 Reorder the terms: 7(-5 + 4y) + 3(4y + 6) = 0 (-5 * 7 + 4y * 7) + 3(4y + 6) = 0 (-35 + 28y) + 3(4y + 6) = 0 Reorder the terms: -35 + 28y + 3(6 + 4y) = 0 -35 + 28y + (6 * 3 + 4y * 3) = 0 -35 + 28y + (18 + 12y) = 0 Reorder the terms: -35 + 18 + 28y + 12y = 0 Combine like terms: -35 + 18 = -17 -17 + 28y + 12y = 0 Combine like terms: 28y + 12y = 40y -17 + 40y = 0 Solving -17 + 40y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 40y = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 40y = 0 + 17 40y = 0 + 17 Combine like terms: 0 + 17 = 17 40y = 17 Divide each side by '40'. y = 0.425 Simplifying y = 0.425
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