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Simplifying 4(3d + -2) = 2(5y + 6) Reorder the terms: 4(-2 + 3d) = 2(5y + 6) (-2 * 4 + 3d * 4) = 2(5y + 6) (-8 + 12d) = 2(5y + 6) Reorder the terms: -8 + 12d = 2(6 + 5y) -8 + 12d = (6 * 2 + 5y * 2) -8 + 12d = (12 + 10y) Solving -8 + 12d = 12 + 10y Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 12d = 12 + 8 + 10y Combine like terms: -8 + 8 = 0 0 + 12d = 12 + 8 + 10y 12d = 12 + 8 + 10y Combine like terms: 12 + 8 = 20 12d = 20 + 10y Divide each side by '12'. d = 1.666666667 + 0.8333333333y Simplifying d = 1.666666667 + 0.8333333333y
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