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Simplifying 4y + -6x + 10 = 2y + -4 Reorder the terms: 10 + -6x + 4y = 2y + -4 Reorder the terms: 10 + -6x + 4y = -4 + 2y Solving 10 + -6x + 4y = -4 + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -6x + -10 + 4y = -4 + -10 + 2y Reorder the terms: 10 + -10 + -6x + 4y = -4 + -10 + 2y Combine like terms: 10 + -10 = 0 0 + -6x + 4y = -4 + -10 + 2y -6x + 4y = -4 + -10 + 2y Combine like terms: -4 + -10 = -14 -6x + 4y = -14 + 2y Add '-4y' to each side of the equation. -6x + 4y + -4y = -14 + 2y + -4y Combine like terms: 4y + -4y = 0 -6x + 0 = -14 + 2y + -4y -6x = -14 + 2y + -4y Combine like terms: 2y + -4y = -2y -6x = -14 + -2y Divide each side by '-6'. x = 2.333333333 + 0.3333333333y Simplifying x = 2.333333333 + 0.3333333333y
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