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Simplifying 6y + -4y + 8 + 12a + -15 + 2a = 0 Reorder the terms: 8 + -15 + 12a + 2a + 6y + -4y = 0 Combine like terms: 8 + -15 = -7 -7 + 12a + 2a + 6y + -4y = 0 Combine like terms: 12a + 2a = 14a -7 + 14a + 6y + -4y = 0 Combine like terms: 6y + -4y = 2y -7 + 14a + 2y = 0 Solving -7 + 14a + 2y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 14a + 7 + 2y = 0 + 7 Reorder the terms: -7 + 7 + 14a + 2y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 14a + 2y = 0 + 7 14a + 2y = 0 + 7 Combine like terms: 0 + 7 = 7 14a + 2y = 7 Add '-2y' to each side of the equation. 14a + 2y + -2y = 7 + -2y Combine like terms: 2y + -2y = 0 14a + 0 = 7 + -2y 14a = 7 + -2y Divide each side by '14'. a = 0.5 + -0.1428571429y Simplifying a = 0.5 + -0.1428571429y
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