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Simplifying 3y + 4 + 6a + 7 = 8y + -6 Reorder the terms: 4 + 7 + 6a + 3y = 8y + -6 Combine like terms: 4 + 7 = 11 11 + 6a + 3y = 8y + -6 Reorder the terms: 11 + 6a + 3y = -6 + 8y Solving 11 + 6a + 3y = -6 + 8y Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 6a + -11 + 3y = -6 + -11 + 8y Reorder the terms: 11 + -11 + 6a + 3y = -6 + -11 + 8y Combine like terms: 11 + -11 = 0 0 + 6a + 3y = -6 + -11 + 8y 6a + 3y = -6 + -11 + 8y Combine like terms: -6 + -11 = -17 6a + 3y = -17 + 8y Add '-3y' to each side of the equation. 6a + 3y + -3y = -17 + 8y + -3y Combine like terms: 3y + -3y = 0 6a + 0 = -17 + 8y + -3y 6a = -17 + 8y + -3y Combine like terms: 8y + -3y = 5y 6a = -17 + 5y Divide each side by '6'. a = -2.833333333 + 0.8333333333y Simplifying a = -2.833333333 + 0.8333333333y
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