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Simplifying (y + 3d) + -1(-9y + 7d) = 0 Reorder the terms: (3d + y) + -1(-9y + 7d) = 0 Remove parenthesis around (3d + y) 3d + y + -1(-9y + 7d) = 0 Reorder the terms: 3d + y + -1(7d + -9y) = 0 3d + y + (7d * -1 + -9y * -1) = 0 3d + y + (-7d + 9y) = 0 Reorder the terms: 3d + -7d + y + 9y = 0 Combine like terms: 3d + -7d = -4d -4d + y + 9y = 0 Combine like terms: y + 9y = 10y -4d + 10y = 0 Solving -4d + 10y = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10y' to each side of the equation. -4d + 10y + -10y = 0 + -10y Combine like terms: 10y + -10y = 0 -4d + 0 = 0 + -10y -4d = 0 + -10y Remove the zero: -4d = -10y Divide each side by '-4'. d = 2.5y Simplifying d = 2.5y
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