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Simplifying 64z + 36z + 7z + 8(y + 9) = 0 Reorder the terms: 64z + 36z + 7z + 8(9 + y) = 0 64z + 36z + 7z + (9 * 8 + y * 8) = 0 64z + 36z + 7z + (72 + 8y) = 0 Reorder the terms: 72 + 8y + 64z + 36z + 7z = 0 Combine like terms: 64z + 36z = 100z 72 + 8y + 100z + 7z = 0 Combine like terms: 100z + 7z = 107z 72 + 8y + 107z = 0 Solving 72 + 8y + 107z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + 8y + -72 + 107z = 0 + -72 Reorder the terms: 72 + -72 + 8y + 107z = 0 + -72 Combine like terms: 72 + -72 = 0 0 + 8y + 107z = 0 + -72 8y + 107z = 0 + -72 Combine like terms: 0 + -72 = -72 8y + 107z = -72 Add '-107z' to each side of the equation. 8y + 107z + -107z = -72 + -107z Combine like terms: 107z + -107z = 0 8y + 0 = -72 + -107z 8y = -72 + -107z Divide each side by '8'. y = -9 + -13.375z Simplifying y = -9 + -13.375z
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