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