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Simplifying 6y + 5a = 4y + 9a Reorder the terms: 5a + 6y = 4y + 9a Reorder the terms: 5a + 6y = 9a + 4y Solving 5a + 6y = 9a + 4y Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 5a + -9a + 6y = 9a + -9a + 4y Combine like terms: 5a + -9a = -4a -4a + 6y = 9a + -9a + 4y Combine like terms: 9a + -9a = 0 -4a + 6y = 0 + 4y -4a + 6y = 4y Add '-6y' to each side of the equation. -4a + 6y + -6y = 4y + -6y Combine like terms: 6y + -6y = 0 -4a + 0 = 4y + -6y -4a = 4y + -6y Combine like terms: 4y + -6y = -2y -4a = -2y Divide each side by '-4'. a = 0.5y Simplifying a = 0.5y
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