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Simplifying 2y + a + -7y = -6y + 2a Reorder the terms: a + 2y + -7y = -6y + 2a Combine like terms: 2y + -7y = -5y a + -5y = -6y + 2a Reorder the terms: a + -5y = 2a + -6y Solving a + -5y = 2a + -6y Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. a + -2a + -5y = 2a + -2a + -6y Combine like terms: a + -2a = -1a -1a + -5y = 2a + -2a + -6y Combine like terms: 2a + -2a = 0 -1a + -5y = 0 + -6y -1a + -5y = -6y Add '5y' to each side of the equation. -1a + -5y + 5y = -6y + 5y Combine like terms: -5y + 5y = 0 -1a + 0 = -6y + 5y -1a = -6y + 5y Combine like terms: -6y + 5y = -1y -1a = -1y Divide each side by '-1'. a = y Simplifying a = y
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