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Simplifying 2(1 + -1y) = 8 + 4(x + -3) (1 * 2 + -1y * 2) = 8 + 4(x + -3) (2 + -2y) = 8 + 4(x + -3) Reorder the terms: 2 + -2y = 8 + 4(-3 + x) 2 + -2y = 8 + (-3 * 4 + x * 4) 2 + -2y = 8 + (-12 + 4x) Combine like terms: 8 + -12 = -4 2 + -2y = -4 + 4x Solving 2 + -2y = -4 + 4x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -2y = -4 + -2 + 4x Combine like terms: 2 + -2 = 0 0 + -2y = -4 + -2 + 4x -2y = -4 + -2 + 4x Combine like terms: -4 + -2 = -6 -2y = -6 + 4x Divide each side by '-2'. y = 3 + -2x Simplifying y = 3 + -2x
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