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Simplifying -1y + -8 + 6y = -1a + 5y + 1 Reorder the terms: -8 + -1y + 6y = -1a + 5y + 1 Combine like terms: -1y + 6y = 5y -8 + 5y = -1a + 5y + 1 Reorder the terms: -8 + 5y = 1 + -1a + 5y Add '-5y' to each side of the equation. -8 + 5y + -5y = 1 + -1a + 5y + -5y Combine like terms: 5y + -5y = 0 -8 + 0 = 1 + -1a + 5y + -5y -8 = 1 + -1a + 5y + -5y Combine like terms: 5y + -5y = 0 -8 = 1 + -1a + 0 -8 = 1 + -1a Solving -8 = 1 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -8 + a = 1 + -1a + a Combine like terms: -1a + a = 0 -8 + a = 1 + 0 -8 + a = 1 Add '8' to each side of the equation. -8 + 8 + a = 1 + 8 Combine like terms: -8 + 8 = 0 0 + a = 1 + 8 a = 1 + 8 Combine like terms: 1 + 8 = 9 a = 9 Simplifying a = 9
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