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Simplifying 6x + 3y = 4(y + -3) Reorder the terms: 6x + 3y = 4(-3 + y) 6x + 3y = (-3 * 4 + y * 4) 6x + 3y = (-12 + 4y) Solving 6x + 3y = -12 + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 6x + 3y + -3y = -12 + 4y + -3y Combine like terms: 3y + -3y = 0 6x + 0 = -12 + 4y + -3y 6x = -12 + 4y + -3y Combine like terms: 4y + -3y = 1y 6x = -12 + 1y Divide each side by '6'. x = -2 + 0.1666666667y Simplifying x = -2 + 0.1666666667y
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