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Simplifying y + -3(a + p) = 5(y + -8a + p) y + (a * -3 + p * -3) = 5(y + -8a + p) y + (-3a + -3p) = 5(y + -8a + p) Reorder the terms: -3a + -3p + y = 5(y + -8a + p) Reorder the terms: -3a + -3p + y = 5(-8a + p + y) -3a + -3p + y = (-8a * 5 + p * 5 + y * 5) -3a + -3p + y = (-40a + 5p + 5y) Solving -3a + -3p + y = -40a + 5p + 5y Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '40a' to each side of the equation. -3a + -3p + 40a + y = -40a + 5p + 40a + 5y Reorder the terms: -3a + 40a + -3p + y = -40a + 5p + 40a + 5y Combine like terms: -3a + 40a = 37a 37a + -3p + y = -40a + 5p + 40a + 5y Reorder the terms: 37a + -3p + y = -40a + 40a + 5p + 5y Combine like terms: -40a + 40a = 0 37a + -3p + y = 0 + 5p + 5y 37a + -3p + y = 5p + 5y Add '3p' to each side of the equation. 37a + -3p + 3p + y = 5p + 3p + 5y Combine like terms: -3p + 3p = 0 37a + 0 + y = 5p + 3p + 5y 37a + y = 5p + 3p + 5y Combine like terms: 5p + 3p = 8p 37a + y = 8p + 5y Add '-1y' to each side of the equation. 37a + y + -1y = 8p + 5y + -1y Combine like terms: y + -1y = 0 37a + 0 = 8p + 5y + -1y 37a = 8p + 5y + -1y Combine like terms: 5y + -1y = 4y 37a = 8p + 4y Divide each side by '37'. a = 0.2162162162p + 0.1081081081y Simplifying a = 0.2162162162p + 0.1081081081y
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