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Simplifying 2y + -3x = 6x + 4(y + -2) Reorder the terms: -3x + 2y = 6x + 4(y + -2) Reorder the terms: -3x + 2y = 6x + 4(-2 + y) -3x + 2y = 6x + (-2 * 4 + y * 4) -3x + 2y = 6x + (-8 + 4y) Reorder the terms: -3x + 2y = -8 + 6x + 4y Solving -3x + 2y = -8 + 6x + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -3x + -6x + 2y = -8 + 6x + -6x + 4y Combine like terms: -3x + -6x = -9x -9x + 2y = -8 + 6x + -6x + 4y Combine like terms: 6x + -6x = 0 -9x + 2y = -8 + 0 + 4y -9x + 2y = -8 + 4y Add '-2y' to each side of the equation. -9x + 2y + -2y = -8 + 4y + -2y Combine like terms: 2y + -2y = 0 -9x + 0 = -8 + 4y + -2y -9x = -8 + 4y + -2y Combine like terms: 4y + -2y = 2y -9x = -8 + 2y Divide each side by '-9'. x = 0.8888888889 + -0.2222222222y Simplifying x = 0.8888888889 + -0.2222222222y
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