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Simplifying y = 4[x + -1(5 + -1x)] + -7(x + 1) y = 4[x + (5 * -1 + -1x * -1)] + -7(x + 1) y = 4[x + (-5 + 1x)] + -7(x + 1) Reorder the terms: y = 4[-5 + x + 1x] + -7(x + 1) Combine like terms: x + 1x = 2x y = 4[-5 + 2x] + -7(x + 1) y = [-5 * 4 + 2x * 4] + -7(x + 1) y = [-20 + 8x] + -7(x + 1) Reorder the terms: y = -20 + 8x + -7(1 + x) y = -20 + 8x + (1 * -7 + x * -7) y = -20 + 8x + (-7 + -7x) Reorder the terms: y = -20 + -7 + 8x + -7x Combine like terms: -20 + -7 = -27 y = -27 + 8x + -7x Combine like terms: 8x + -7x = 1x y = -27 + 1x Solving y = -27 + 1x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = -27 + 1x
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