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Simplifying 2a + 6(y + -4) = 5y + -6 Reorder the terms: 2a + 6(-4 + y) = 5y + -6 2a + (-4 * 6 + y * 6) = 5y + -6 2a + (-24 + 6y) = 5y + -6 Reorder the terms: -24 + 2a + 6y = 5y + -6 Reorder the terms: -24 + 2a + 6y = -6 + 5y Solving -24 + 2a + 6y = -6 + 5y Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 2a + 24 + 6y = -6 + 24 + 5y Reorder the terms: -24 + 24 + 2a + 6y = -6 + 24 + 5y Combine like terms: -24 + 24 = 0 0 + 2a + 6y = -6 + 24 + 5y 2a + 6y = -6 + 24 + 5y Combine like terms: -6 + 24 = 18 2a + 6y = 18 + 5y Add '-6y' to each side of the equation. 2a + 6y + -6y = 18 + 5y + -6y Combine like terms: 6y + -6y = 0 2a + 0 = 18 + 5y + -6y 2a = 18 + 5y + -6y Combine like terms: 5y + -6y = -1y 2a = 18 + -1y Divide each side by '2'. a = 9 + -0.5y Simplifying a = 9 + -0.5y
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