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Simplifying 4y + -8a + 12 + -12a + 6y + 10 = 0 Reorder the terms: 12 + 10 + -8a + -12a + 4y + 6y = 0 Combine like terms: 12 + 10 = 22 22 + -8a + -12a + 4y + 6y = 0 Combine like terms: -8a + -12a = -20a 22 + -20a + 4y + 6y = 0 Combine like terms: 4y + 6y = 10y 22 + -20a + 10y = 0 Solving 22 + -20a + 10y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -20a + -22 + 10y = 0 + -22 Reorder the terms: 22 + -22 + -20a + 10y = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -20a + 10y = 0 + -22 -20a + 10y = 0 + -22 Combine like terms: 0 + -22 = -22 -20a + 10y = -22 Add '-10y' to each side of the equation. -20a + 10y + -10y = -22 + -10y Combine like terms: 10y + -10y = 0 -20a + 0 = -22 + -10y -20a = -22 + -10y Divide each side by '-20'. a = 1.1 + 0.5y Simplifying a = 1.1 + 0.5y
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