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Simplifying y = (7p2 + 6p + 1)(5p2 + 7p + 4) Reorder the terms: y = (1 + 6p + 7p2)(5p2 + 7p + 4) Reorder the terms: y = (1 + 6p + 7p2)(4 + 7p + 5p2) Multiply (1 + 6p + 7p2) * (4 + 7p + 5p2) y = (1(4 + 7p + 5p2) + 6p * (4 + 7p + 5p2) + 7p2 * (4 + 7p + 5p2)) y = ((4 * 1 + 7p * 1 + 5p2 * 1) + 6p * (4 + 7p + 5p2) + 7p2 * (4 + 7p + 5p2)) y = ((4 + 7p + 5p2) + 6p * (4 + 7p + 5p2) + 7p2 * (4 + 7p + 5p2)) y = (4 + 7p + 5p2 + (4 * 6p + 7p * 6p + 5p2 * 6p) + 7p2 * (4 + 7p + 5p2)) y = (4 + 7p + 5p2 + (24p + 42p2 + 30p3) + 7p2 * (4 + 7p + 5p2)) y = (4 + 7p + 5p2 + 24p + 42p2 + 30p3 + (4 * 7p2 + 7p * 7p2 + 5p2 * 7p2)) y = (4 + 7p + 5p2 + 24p + 42p2 + 30p3 + (28p2 + 49p3 + 35p4)) Reorder the terms: y = (4 + 7p + 24p + 5p2 + 42p2 + 28p2 + 30p3 + 49p3 + 35p4) Combine like terms: 7p + 24p = 31p y = (4 + 31p + 5p2 + 42p2 + 28p2 + 30p3 + 49p3 + 35p4) Combine like terms: 5p2 + 42p2 = 47p2 y = (4 + 31p + 47p2 + 28p2 + 30p3 + 49p3 + 35p4) Combine like terms: 47p2 + 28p2 = 75p2 y = (4 + 31p + 75p2 + 30p3 + 49p3 + 35p4) Combine like terms: 30p3 + 49p3 = 79p3 y = (4 + 31p + 75p2 + 79p3 + 35p4) Solving y = 4 + 31p + 75p2 + 79p3 + 35p4 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 4 + 31p + 75p2 + 79p3 + 35p4
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