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Simplifying 47 + -4d = y + -12d Reorder the terms: 47 + -4d = -12d + y Solving 47 + -4d = -12d + y Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '12d' to each side of the equation. 47 + -4d + 12d = -12d + 12d + y Combine like terms: -4d + 12d = 8d 47 + 8d = -12d + 12d + y Combine like terms: -12d + 12d = 0 47 + 8d = 0 + y 47 + 8d = y Add '-47' to each side of the equation. 47 + -47 + 8d = -47 + y Combine like terms: 47 + -47 = 0 0 + 8d = -47 + y 8d = -47 + y Divide each side by '8'. d = -5.875 + 0.125y Simplifying d = -5.875 + 0.125y
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