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Simplifying 7p + (7 + -1p) = 2y + -1(5y + -27) Remove parenthesis around (7 + -1p) 7p + 7 + -1p = 2y + -1(5y + -27) Reorder the terms: 7 + 7p + -1p = 2y + -1(5y + -27) Combine like terms: 7p + -1p = 6p 7 + 6p = 2y + -1(5y + -27) Reorder the terms: 7 + 6p = 2y + -1(-27 + 5y) 7 + 6p = 2y + (-27 * -1 + 5y * -1) 7 + 6p = 2y + (27 + -5y) Reorder the terms: 7 + 6p = 27 + 2y + -5y Combine like terms: 2y + -5y = -3y 7 + 6p = 27 + -3y Solving 7 + 6p = 27 + -3y Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6p = 27 + -7 + -3y Combine like terms: 7 + -7 = 0 0 + 6p = 27 + -7 + -3y 6p = 27 + -7 + -3y Combine like terms: 27 + -7 = 20 6p = 20 + -3y Divide each side by '6'. p = 3.333333333 + -0.5y Simplifying p = 3.333333333 + -0.5y
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