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Simplifying 7(4y + -5) + 2(4y + 3) = 0 Reorder the terms: 7(-5 + 4y) + 2(4y + 3) = 0 (-5 * 7 + 4y * 7) + 2(4y + 3) = 0 (-35 + 28y) + 2(4y + 3) = 0 Reorder the terms: -35 + 28y + 2(3 + 4y) = 0 -35 + 28y + (3 * 2 + 4y * 2) = 0 -35 + 28y + (6 + 8y) = 0 Reorder the terms: -35 + 6 + 28y + 8y = 0 Combine like terms: -35 + 6 = -29 -29 + 28y + 8y = 0 Combine like terms: 28y + 8y = 36y -29 + 36y = 0 Solving -29 + 36y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 36y = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 36y = 0 + 29 36y = 0 + 29 Combine like terms: 0 + 29 = 29 36y = 29 Divide each side by '36'. y = 0.8055555556 Simplifying y = 0.8055555556
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