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Simplifying -1[3 + -2(y + -4)] = 3(x + -6) Reorder the terms: -1[3 + -2(-4 + y)] = 3(x + -6) -1[3 + (-4 * -2 + y * -2)] = 3(x + -6) -1[3 + (8 + -2y)] = 3(x + -6) Combine like terms: 3 + 8 = 11 -1[11 + -2y] = 3(x + -6) [11 * -1 + -2y * -1] = 3(x + -6) [-11 + 2y] = 3(x + -6) Reorder the terms: -11 + 2y = 3(-6 + x) -11 + 2y = (-6 * 3 + x * 3) -11 + 2y = (-18 + 3x) Solving -11 + 2y = -18 + 3x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 2y = -18 + 11 + 3x Combine like terms: -11 + 11 = 0 0 + 2y = -18 + 11 + 3x 2y = -18 + 11 + 3x Combine like terms: -18 + 11 = -7 2y = -7 + 3x Divide each side by '2'. y = -3.5 + 1.5x Simplifying y = -3.5 + 1.5x
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