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Simplifying 6y + 7a = 8y + -6a Reorder the terms: 7a + 6y = 8y + -6a Reorder the terms: 7a + 6y = -6a + 8y Solving 7a + 6y = -6a + 8y Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 7a + 6a + 6y = -6a + 6a + 8y Combine like terms: 7a + 6a = 13a 13a + 6y = -6a + 6a + 8y Combine like terms: -6a + 6a = 0 13a + 6y = 0 + 8y 13a + 6y = 8y Add '-6y' to each side of the equation. 13a + 6y + -6y = 8y + -6y Combine like terms: 6y + -6y = 0 13a + 0 = 8y + -6y 13a = 8y + -6y Combine like terms: 8y + -6y = 2y 13a = 2y Divide each side by '13'. a = 0.1538461538y Simplifying a = 0.1538461538y
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