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Simplifying 8 + -4(x + -1Y) = -6x + -6 Reorder the terms: 8 + -4(-1Y + x) = -6x + -6 8 + (-1Y * -4 + x * -4) = -6x + -6 8 + (4Y + -4x) = -6x + -6 Reorder the terms: 8 + 4Y + -4x = -6 + -6x Solving 8 + 4Y + -4x = -6 + -6x Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 4Y + -8 + -4x = -6 + -8 + -6x Reorder the terms: 8 + -8 + 4Y + -4x = -6 + -8 + -6x Combine like terms: 8 + -8 = 0 0 + 4Y + -4x = -6 + -8 + -6x 4Y + -4x = -6 + -8 + -6x Combine like terms: -6 + -8 = -14 4Y + -4x = -14 + -6x Add '4x' to each side of the equation. 4Y + -4x + 4x = -14 + -6x + 4x Combine like terms: -4x + 4x = 0 4Y + 0 = -14 + -6x + 4x 4Y = -14 + -6x + 4x Combine like terms: -6x + 4x = -2x 4Y = -14 + -2x Divide each side by '4'. Y = -3.5 + -0.5x Simplifying Y = -3.5 + -0.5x
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