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