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Simplifying 8(2y + -4) + 3(5y + 7) = 0 Reorder the terms: 8(-4 + 2y) + 3(5y + 7) = 0 (-4 * 8 + 2y * 8) + 3(5y + 7) = 0 (-32 + 16y) + 3(5y + 7) = 0 Reorder the terms: -32 + 16y + 3(7 + 5y) = 0 -32 + 16y + (7 * 3 + 5y * 3) = 0 -32 + 16y + (21 + 15y) = 0 Reorder the terms: -32 + 21 + 16y + 15y = 0 Combine like terms: -32 + 21 = -11 -11 + 16y + 15y = 0 Combine like terms: 16y + 15y = 31y -11 + 31y = 0 Solving -11 + 31y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 31y = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 31y = 0 + 11 31y = 0 + 11 Combine like terms: 0 + 11 = 11 31y = 11 Divide each side by '31'. y = 0.3548387097 Simplifying y = 0.3548387097
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