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Simplifying -1p + 3y + 10 = 2p + -2 Reorder the terms: 10 + -1p + 3y = 2p + -2 Reorder the terms: 10 + -1p + 3y = -2 + 2p Solving 10 + -1p + 3y = -2 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 10 + -1p + -2p + 3y = -2 + 2p + -2p Combine like terms: -1p + -2p = -3p 10 + -3p + 3y = -2 + 2p + -2p Combine like terms: 2p + -2p = 0 10 + -3p + 3y = -2 + 0 10 + -3p + 3y = -2 Add '-10' to each side of the equation. 10 + -3p + -10 + 3y = -2 + -10 Reorder the terms: 10 + -10 + -3p + 3y = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -3p + 3y = -2 + -10 -3p + 3y = -2 + -10 Combine like terms: -2 + -10 = -12 -3p + 3y = -12 Add '-3y' to each side of the equation. -3p + 3y + -3y = -12 + -3y Combine like terms: 3y + -3y = 0 -3p + 0 = -12 + -3y -3p = -12 + -3y Divide each side by '-3'. p = 4 + y Simplifying p = 4 + y
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