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Simplifying -1(4y + -5p) = -5(3p + 3) Reorder the terms: -1(-5p + 4y) = -5(3p + 3) (-5p * -1 + 4y * -1) = -5(3p + 3) (5p + -4y) = -5(3p + 3) Reorder the terms: 5p + -4y = -5(3 + 3p) 5p + -4y = (3 * -5 + 3p * -5) 5p + -4y = (-15 + -15p) Solving 5p + -4y = -15 + -15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '15p' to each side of the equation. 5p + 15p + -4y = -15 + -15p + 15p Combine like terms: 5p + 15p = 20p 20p + -4y = -15 + -15p + 15p Combine like terms: -15p + 15p = 0 20p + -4y = -15 + 0 20p + -4y = -15 Add '4y' to each side of the equation. 20p + -4y + 4y = -15 + 4y Combine like terms: -4y + 4y = 0 20p + 0 = -15 + 4y 20p = -15 + 4y Divide each side by '20'. p = -0.75 + 0.2y Simplifying p = -0.75 + 0.2y
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