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Simplifying 4(a + y) + -8(a + y) = 0 (a * 4 + y * 4) + -8(a + y) = 0 (4a + 4y) + -8(a + y) = 0 4a + 4y + (a * -8 + y * -8) = 0 4a + 4y + (-8a + -8y) = 0 Reorder the terms: 4a + -8a + 4y + -8y = 0 Combine like terms: 4a + -8a = -4a -4a + 4y + -8y = 0 Combine like terms: 4y + -8y = -4y -4a + -4y = 0 Solving -4a + -4y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4y' to each side of the equation. -4a + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 -4a + 0 = 0 + 4y -4a = 0 + 4y Remove the zero: -4a = 4y Divide each side by '-4'. a = -1y Simplifying a = -1y
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