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Simplifying 3 + -1(3y + -1a) = -2(5 + -1y) Reorder the terms: 3 + -1(-1a + 3y) = -2(5 + -1y) 3 + (-1a * -1 + 3y * -1) = -2(5 + -1y) 3 + (1a + -3y) = -2(5 + -1y) 3 + 1a + -3y = (5 * -2 + -1y * -2) 3 + 1a + -3y = (-10 + 2y) Solving 3 + 1a + -3y = -10 + 2y Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 1a + -3 + -3y = -10 + -3 + 2y Reorder the terms: 3 + -3 + 1a + -3y = -10 + -3 + 2y Combine like terms: 3 + -3 = 0 0 + 1a + -3y = -10 + -3 + 2y 1a + -3y = -10 + -3 + 2y Combine like terms: -10 + -3 = -13 1a + -3y = -13 + 2y Add '3y' to each side of the equation. 1a + -3y + 3y = -13 + 2y + 3y Combine like terms: -3y + 3y = 0 1a + 0 = -13 + 2y + 3y 1a = -13 + 2y + 3y Combine like terms: 2y + 3y = 5y 1a = -13 + 5y Divide each side by '1'. a = -13 + 5y Simplifying a = -13 + 5y
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