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Simplifying p + -4(2 + -1y) = 7y + -1(3 + y) p + (2 * -4 + -1y * -4) = 7y + -1(3 + y) p + (-8 + 4y) = 7y + -1(3 + y) Reorder the terms: -8 + p + 4y = 7y + -1(3 + y) -8 + p + 4y = 7y + (3 * -1 + y * -1) -8 + p + 4y = 7y + (-3 + -1y) Reorder the terms: -8 + p + 4y = -3 + 7y + -1y Combine like terms: 7y + -1y = 6y -8 + p + 4y = -3 + 6y Solving -8 + p + 4y = -3 + 6y Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8' to each side of the equation. -8 + p + 8 + 4y = -3 + 8 + 6y Reorder the terms: -8 + 8 + p + 4y = -3 + 8 + 6y Combine like terms: -8 + 8 = 0 0 + p + 4y = -3 + 8 + 6y p + 4y = -3 + 8 + 6y Combine like terms: -3 + 8 = 5 p + 4y = 5 + 6y Add '-4y' to each side of the equation. p + 4y + -4y = 5 + 6y + -4y Combine like terms: 4y + -4y = 0 p + 0 = 5 + 6y + -4y p = 5 + 6y + -4y Combine like terms: 6y + -4y = 2y p = 5 + 2y Simplifying p = 5 + 2y
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