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Simplifying 8(5y + -3) + -1(2y + 5) = 0 Reorder the terms: 8(-3 + 5y) + -1(2y + 5) = 0 (-3 * 8 + 5y * 8) + -1(2y + 5) = 0 (-24 + 40y) + -1(2y + 5) = 0 Reorder the terms: -24 + 40y + -1(5 + 2y) = 0 -24 + 40y + (5 * -1 + 2y * -1) = 0 -24 + 40y + (-5 + -2y) = 0 Reorder the terms: -24 + -5 + 40y + -2y = 0 Combine like terms: -24 + -5 = -29 -29 + 40y + -2y = 0 Combine like terms: 40y + -2y = 38y -29 + 38y = 0 Solving -29 + 38y = 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 + 38y = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 38y = 0 + 29 38y = 0 + 29 Combine like terms: 0 + 29 = 29 38y = 29 Divide each side by '38'. y = 0.7631578947 Simplifying y = 0.7631578947
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