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Simplifying 8(5dx + y) = 39dx + -3y (5dx * 8 + y * 8) = 39dx + -3y (40dx + 8y) = 39dx + -3y Solving 40dx + 8y = 39dx + -3y Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-39dx' to each side of the equation. 40dx + -39dx + 8y = 39dx + -39dx + -3y Combine like terms: 40dx + -39dx = 1dx 1dx + 8y = 39dx + -39dx + -3y Combine like terms: 39dx + -39dx = 0 1dx + 8y = 0 + -3y 1dx + 8y = -3y Add '-8y' to each side of the equation. 1dx + 8y + -8y = -3y + -8y Combine like terms: 8y + -8y = 0 1dx + 0 = -3y + -8y 1dx = -3y + -8y Combine like terms: -3y + -8y = -11y 1dx = -11y Divide each side by '1x'. d = -11x-1y Simplifying d = -11x-1y
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