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Simplifying 4x + -3y + -6 = 15 + y Reorder the terms: -6 + 4x + -3y = 15 + y Solving -6 + 4x + -3y = 15 + y 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 + 4x + 6 + -3y = 15 + 6 + y Reorder the terms: -6 + 6 + 4x + -3y = 15 + 6 + y Combine like terms: -6 + 6 = 0 0 + 4x + -3y = 15 + 6 + y 4x + -3y = 15 + 6 + y Combine like terms: 15 + 6 = 21 4x + -3y = 21 + y Add '3y' to each side of the equation. 4x + -3y + 3y = 21 + y + 3y Combine like terms: -3y + 3y = 0 4x + 0 = 21 + y + 3y 4x = 21 + y + 3y Combine like terms: y + 3y = 4y 4x = 21 + 4y Divide each side by '4'. x = 5.25 + y Simplifying x = 5.25 + y
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