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Simplifying y = 2[3x + -1(4x + -2)] + -5(x + -2) Reorder the terms: y = 2[3x + -1(-2 + 4x)] + -5(x + -2) y = 2[3x + (-2 * -1 + 4x * -1)] + -5(x + -2) y = 2[3x + (2 + -4x)] + -5(x + -2) Reorder the terms: y = 2[2 + 3x + -4x] + -5(x + -2) Combine like terms: 3x + -4x = -1x y = 2[2 + -1x] + -5(x + -2) y = [2 * 2 + -1x * 2] + -5(x + -2) y = [4 + -2x] + -5(x + -2) Reorder the terms: y = 4 + -2x + -5(-2 + x) y = 4 + -2x + (-2 * -5 + x * -5) y = 4 + -2x + (10 + -5x) Reorder the terms: y = 4 + 10 + -2x + -5x Combine like terms: 4 + 10 = 14 y = 14 + -2x + -5x Combine like terms: -2x + -5x = -7x y = 14 + -7x Solving y = 14 + -7x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 14 + -7x
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