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Simplifying 7(5y + -6) + 4(2y + 5) = 0 Reorder the terms: 7(-6 + 5y) + 4(2y + 5) = 0 (-6 * 7 + 5y * 7) + 4(2y + 5) = 0 (-42 + 35y) + 4(2y + 5) = 0 Reorder the terms: -42 + 35y + 4(5 + 2y) = 0 -42 + 35y + (5 * 4 + 2y * 4) = 0 -42 + 35y + (20 + 8y) = 0 Reorder the terms: -42 + 20 + 35y + 8y = 0 Combine like terms: -42 + 20 = -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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