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Simplifying 10y + a = 7y + 7a Reorder the terms: a + 10y = 7y + 7a Reorder the terms: a + 10y = 7a + 7y Solving a + 10y = 7a + 7y Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. a + -7a + 10y = 7a + -7a + 7y Combine like terms: a + -7a = -6a -6a + 10y = 7a + -7a + 7y Combine like terms: 7a + -7a = 0 -6a + 10y = 0 + 7y -6a + 10y = 7y Add '-10y' to each side of the equation. -6a + 10y + -10y = 7y + -10y Combine like terms: 10y + -10y = 0 -6a + 0 = 7y + -10y -6a = 7y + -10y Combine like terms: 7y + -10y = -3y -6a = -3y Divide each side by '-6'. a = 0.5y Simplifying a = 0.5y
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