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Simplifying 7(5y + -4) + 2(4y + 3) = 0 Reorder the terms: 7(-4 + 5y) + 2(4y + 3) = 0 (-4 * 7 + 5y * 7) + 2(4y + 3) = 0 (-28 + 35y) + 2(4y + 3) = 0 Reorder the terms: -28 + 35y + 2(3 + 4y) = 0 -28 + 35y + (3 * 2 + 4y * 2) = 0 -28 + 35y + (6 + 8y) = 0 Reorder the terms: -28 + 6 + 35y + 8y = 0 Combine like terms: -28 + 6 = -22 -22 + 35y + 8y = 0 Combine like terms: 35y + 8y = 43y -22 + 43y = 0 Solving -22 + 43y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 43y = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 43y = 0 + 22 43y = 0 + 22 Combine like terms: 0 + 22 = 22 43y = 22 Divide each side by '43'. y = 0.511627907 Simplifying y = 0.511627907
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