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Simplifying 4p + 2y = 6(p + -3) + -3(4 + -3p) Reorder the terms: 4p + 2y = 6(-3 + p) + -3(4 + -3p) 4p + 2y = (-3 * 6 + p * 6) + -3(4 + -3p) 4p + 2y = (-18 + 6p) + -3(4 + -3p) 4p + 2y = -18 + 6p + (4 * -3 + -3p * -3) 4p + 2y = -18 + 6p + (-12 + 9p) Reorder the terms: 4p + 2y = -18 + -12 + 6p + 9p Combine like terms: -18 + -12 = -30 4p + 2y = -30 + 6p + 9p Combine like terms: 6p + 9p = 15p 4p + 2y = -30 + 15p Solving 4p + 2y = -30 + 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. 4p + -15p + 2y = -30 + 15p + -15p Combine like terms: 4p + -15p = -11p -11p + 2y = -30 + 15p + -15p Combine like terms: 15p + -15p = 0 -11p + 2y = -30 + 0 -11p + 2y = -30 Add '-2y' to each side of the equation. -11p + 2y + -2y = -30 + -2y Combine like terms: 2y + -2y = 0 -11p + 0 = -30 + -2y -11p = -30 + -2y Divide each side by '-11'. p = 2.727272727 + 0.1818181818y Simplifying p = 2.727272727 + 0.1818181818y
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