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Simplifying 4y + -1a = 5a + 6(3 + -1y) Reorder the terms: -1a + 4y = 5a + 6(3 + -1y) -1a + 4y = 5a + (3 * 6 + -1y * 6) -1a + 4y = 5a + (18 + -6y) Reorder the terms: -1a + 4y = 18 + 5a + -6y Solving -1a + 4y = 18 + 5a + -6y Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -1a + -5a + 4y = 18 + 5a + -5a + -6y Combine like terms: -1a + -5a = -6a -6a + 4y = 18 + 5a + -5a + -6y Combine like terms: 5a + -5a = 0 -6a + 4y = 18 + 0 + -6y -6a + 4y = 18 + -6y Add '-4y' to each side of the equation. -6a + 4y + -4y = 18 + -6y + -4y Combine like terms: 4y + -4y = 0 -6a + 0 = 18 + -6y + -4y -6a = 18 + -6y + -4y Combine like terms: -6y + -4y = -10y -6a = 18 + -10y Divide each side by '-6'. a = -3 + 1.666666667y Simplifying a = -3 + 1.666666667y
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