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Simplifying Y = 4a + (2c + -3b) + -3a + -1(4c + 2b) + 2a + -1(3c + -4b) Reorder the terms: Y = 4a + (-3b + 2c) + -3a + -1(4c + 2b) + 2a + -1(3c + -4b) Remove parenthesis around (-3b + 2c) Y = 4a + -3b + 2c + -3a + -1(4c + 2b) + 2a + -1(3c + -4b) Reorder the terms: Y = 4a + -3b + 2c + -3a + -1(2b + 4c) + 2a + -1(3c + -4b) Y = 4a + -3b + 2c + -3a + (2b * -1 + 4c * -1) + 2a + -1(3c + -4b) Y = 4a + -3b + 2c + -3a + (-2b + -4c) + 2a + -1(3c + -4b) Reorder the terms: Y = 4a + -3b + 2c + -3a + -2b + -4c + 2a + -1(-4b + 3c) Y = 4a + -3b + 2c + -3a + -2b + -4c + 2a + (-4b * -1 + 3c * -1) Y = 4a + -3b + 2c + -3a + -2b + -4c + 2a + (4b + -3c) Reorder the terms: Y = 4a + -3a + 2a + -3b + -2b + 4b + 2c + -4c + -3c Combine like terms: 4a + -3a = 1a Y = 1a + 2a + -3b + -2b + 4b + 2c + -4c + -3c Combine like terms: 1a + 2a = 3a Y = 3a + -3b + -2b + 4b + 2c + -4c + -3c Combine like terms: -3b + -2b = -5b Y = 3a + -5b + 4b + 2c + -4c + -3c Combine like terms: -5b + 4b = -1b Y = 3a + -1b + 2c + -4c + -3c Combine like terms: 2c + -4c = -2c Y = 3a + -1b + -2c + -3c Combine like terms: -2c + -3c = -5c Y = 3a + -1b + -5c Solving Y = 3a + -1b + -5c Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Simplifying Y = 3a + -1b + -5c
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