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Simplifying y = 3[x + -1(4 + -1x)] + -5(x + 1) y = 3[x + (4 * -1 + -1x * -1)] + -5(x + 1) y = 3[x + (-4 + 1x)] + -5(x + 1) Reorder the terms: y = 3[-4 + x + 1x] + -5(x + 1) Combine like terms: x + 1x = 2x y = 3[-4 + 2x] + -5(x + 1) y = [-4 * 3 + 2x * 3] + -5(x + 1) y = [-12 + 6x] + -5(x + 1) Reorder the terms: y = -12 + 6x + -5(1 + x) y = -12 + 6x + (1 * -5 + x * -5) y = -12 + 6x + (-5 + -5x) Reorder the terms: y = -12 + -5 + 6x + -5x Combine like terms: -12 + -5 = -17 y = -17 + 6x + -5x Combine like terms: 6x + -5x = 1x y = -17 + 1x Solving y = -17 + 1x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = -17 + 1x
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