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Simplifying (6x + y) = (8y + -2x) Remove parenthesis around (6x + y) 6x + y = (8y + -2x) Reorder the terms: 6x + y = (-2x + 8y) Remove parenthesis around (-2x + 8y) 6x + y = -2x + 8y Solving 6x + y = -2x + 8y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6x + 2x + y = -2x + 2x + 8y Combine like terms: 6x + 2x = 8x 8x + y = -2x + 2x + 8y Combine like terms: -2x + 2x = 0 8x + y = 0 + 8y 8x + y = 8y Add '-1y' to each side of the equation. 8x + y + -1y = 8y + -1y Combine like terms: y + -1y = 0 8x + 0 = 8y + -1y 8x = 8y + -1y Combine like terms: 8y + -1y = 7y 8x = 7y Divide each side by '8'. x = 0.875y Simplifying x = 0.875y
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