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Simplifying 4(x + -3y + 2y) + -2(x + y) + y = 0 Combine like terms: -3y + 2y = -1y 4(x + -1y) + -2(x + y) + y = 0 (x * 4 + -1y * 4) + -2(x + y) + y = 0 (4x + -4y) + -2(x + y) + y = 0 4x + -4y + (x * -2 + y * -2) + y = 0 4x + -4y + (-2x + -2y) + y = 0 Reorder the terms: 4x + -2x + -4y + -2y + y = 0 Combine like terms: 4x + -2x = 2x 2x + -4y + -2y + y = 0 Combine like terms: -4y + -2y = -6y 2x + -6y + y = 0 Combine like terms: -6y + y = -5y 2x + -5y = 0 Solving 2x + -5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 2x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 2x + 0 = 0 + 5y 2x = 0 + 5y Remove the zero: 2x = 5y Divide each side by '2'. x = 2.5y Simplifying x = 2.5y
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