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Simplifying y(x + -3) = 4y + -12 Reorder the terms: y(-3 + x) = 4y + -12 (-3 * y + x * y) = 4y + -12 Reorder the terms: (xy + -3y) = 4y + -12 (xy + -3y) = 4y + -12 Reorder the terms: xy + -3y = -12 + 4y Solving xy + -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. xy + -3y + 3y = -12 + 4y + 3y Combine like terms: -3y + 3y = 0 xy + 0 = -12 + 4y + 3y xy = -12 + 4y + 3y Combine like terms: 4y + 3y = 7y xy = -12 + 7y Divide each side by 'y'. x = -12y-1 + 7 Simplifying x = -12y-1 + 7 Reorder the terms: x = 7 + -12y-1
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