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Simplifying 4x + y = 8x + -6y Solving 4x + y = 8x + -6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4x + -8x + y = 8x + -8x + -6y Combine like terms: 4x + -8x = -4x -4x + y = 8x + -8x + -6y Combine like terms: 8x + -8x = 0 -4x + y = 0 + -6y -4x + y = -6y Add '-1y' to each side of the equation. -4x + y + -1y = -6y + -1y Combine like terms: y + -1y = 0 -4x + 0 = -6y + -1y -4x = -6y + -1y Combine like terms: -6y + -1y = -7y -4x = -7y Divide each side by '-4'. x = 1.75y Simplifying x = 1.75y
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