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Simplifying y = 2[2x + -1(3x + -4)] + 5(x + -4) Reorder the terms: y = 2[2x + -1(-4 + 3x)] + 5(x + -4) y = 2[2x + (-4 * -1 + 3x * -1)] + 5(x + -4) y = 2[2x + (4 + -3x)] + 5(x + -4) Reorder the terms: y = 2[4 + 2x + -3x] + 5(x + -4) Combine like terms: 2x + -3x = -1x y = 2[4 + -1x] + 5(x + -4) y = [4 * 2 + -1x * 2] + 5(x + -4) y = [8 + -2x] + 5(x + -4) Reorder the terms: y = 8 + -2x + 5(-4 + x) y = 8 + -2x + (-4 * 5 + x * 5) y = 8 + -2x + (-20 + 5x) Reorder the terms: y = 8 + -20 + -2x + 5x Combine like terms: 8 + -20 = -12 y = -12 + -2x + 5x Combine like terms: -2x + 5x = 3x y = -12 + 3x Solving y = -12 + 3x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = -12 + 3x
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