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Simplifying 8(2y + -4) + 3(4y + 5) = 0 Reorder the terms: 8(-4 + 2y) + 3(4y + 5) = 0 (-4 * 8 + 2y * 8) + 3(4y + 5) = 0 (-32 + 16y) + 3(4y + 5) = 0 Reorder the terms: -32 + 16y + 3(5 + 4y) = 0 -32 + 16y + (5 * 3 + 4y * 3) = 0 -32 + 16y + (15 + 12y) = 0 Reorder the terms: -32 + 15 + 16y + 12y = 0 Combine like terms: -32 + 15 = -17 -17 + 16y + 12y = 0 Combine like terms: 16y + 12y = 28y -17 + 28y = 0 Solving -17 + 28y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 28y = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 28y = 0 + 17 28y = 0 + 17 Combine like terms: 0 + 17 = 17 28y = 17 Divide each side by '28'. y = 0.6071428571 Simplifying y = 0.6071428571
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