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Simplifying 1 = y(4x + 1) Reorder the terms: 1 = y(1 + 4x) 1 = (1 * y + 4x * y) Reorder the terms: 1 = (4xy + 1y) 1 = (4xy + 1y) Solving 1 = 4xy + 1y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4xy' to each side of the equation. 1 + -4xy = 4xy + -4xy + 1y Combine like terms: 4xy + -4xy = 0 1 + -4xy = 0 + 1y 1 + -4xy = 1y Add '-1' to each side of the equation. 1 + -1 + -4xy = -1 + 1y Combine like terms: 1 + -1 = 0 0 + -4xy = -1 + 1y -4xy = -1 + 1y Divide each side by '-4y'. x = 0.25y-1 + -0.25 Simplifying x = 0.25y-1 + -0.25 Reorder the terms: x = -0.25 + 0.25y-1
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