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Simplifying y = 2[4x + -1(5x + -3)] + -6(x + 3) Reorder the terms: y = 2[4x + -1(-3 + 5x)] + -6(x + 3) y = 2[4x + (-3 * -1 + 5x * -1)] + -6(x + 3) y = 2[4x + (3 + -5x)] + -6(x + 3) Reorder the terms: y = 2[3 + 4x + -5x] + -6(x + 3) Combine like terms: 4x + -5x = -1x y = 2[3 + -1x] + -6(x + 3) y = [3 * 2 + -1x * 2] + -6(x + 3) y = [6 + -2x] + -6(x + 3) Reorder the terms: y = 6 + -2x + -6(3 + x) y = 6 + -2x + (3 * -6 + x * -6) y = 6 + -2x + (-18 + -6x) Reorder the terms: y = 6 + -18 + -2x + -6x Combine like terms: 6 + -18 = -12 y = -12 + -2x + -6x Combine like terms: -2x + -6x = -8x y = -12 + -8x Solving y = -12 + -8x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = -12 + -8x
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