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Simplifying 3y + (4x + -1y) + -1(2x + -5y) = 0 Remove parenthesis around (4x + -1y) 3y + 4x + -1y + -1(2x + -5y) = 0 3y + 4x + -1y + (2x * -1 + -5y * -1) = 0 3y + 4x + -1y + (-2x + 5y) = 0 Reorder the terms: 4x + -2x + 3y + -1y + 5y = 0 Combine like terms: 4x + -2x = 2x 2x + 3y + -1y + 5y = 0 Combine like terms: 3y + -1y = 2y 2x + 2y + 5y = 0 Combine like terms: 2y + 5y = 7y 2x + 7y = 0 Solving 2x + 7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 2x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 2x + 0 = 0 + -7y 2x = 0 + -7y Remove the zero: 2x = -7y Divide each side by '2'. x = -3.5y Simplifying x = -3.5y
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