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Simplifying 6y + -2 + -1x + 4y = 6y + -2 + 2y Reorder the terms: -2 + -1x + 6y + 4y = 6y + -2 + 2y Combine like terms: 6y + 4y = 10y -2 + -1x + 10y = 6y + -2 + 2y Reorder the terms: -2 + -1x + 10y = -2 + 6y + 2y Combine like terms: 6y + 2y = 8y -2 + -1x + 10y = -2 + 8y Add '2' to each side of the equation. -2 + -1x + 2 + 10y = -2 + 2 + 8y Reorder the terms: -2 + 2 + -1x + 10y = -2 + 2 + 8y Combine like terms: -2 + 2 = 0 0 + -1x + 10y = -2 + 2 + 8y -1x + 10y = -2 + 2 + 8y Combine like terms: -2 + 2 = 0 -1x + 10y = 0 + 8y -1x + 10y = 8y Solving -1x + 10y = 8y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. -1x + 10y + -10y = 8y + -10y Combine like terms: 10y + -10y = 0 -1x + 0 = 8y + -10y -1x = 8y + -10y Combine like terms: 8y + -10y = -2y -1x = -2y Divide each side by '-1'. x = 2y Simplifying x = 2y
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